Electronic Arts’ latest Facebook game, The Sims Social, has picked up more than 4.6 million daily active users after launching a week ago, according to AppData.

The Sims Social was the fastest growing social game this week, picking up 2.6 million daily active users as of the beginning of the week and 1.2 million daily active users today alone. That’s compared to Zynga’s smash hit Empires & Allies, which lost around 328,000 daily active users today. Frontierville, another Zynga game that recently released a new sub-game called Pioneer Ville, lost around 220,000 daily active users today, according to AppData.

Electronic Arts’ newest social game looks like it will give Zynga — which hasn’t really faced any stiff competition in Facebook games — a run for its money. That’s because the game has a massive franchise and name behind it, along with a development team that has a pretty stellar track record. EA has sold more than 140 million copies of the The Sims and its sequels and expansion packs and has generated around $3 billion in revenue from it.

The Sims Social is basically a lightweight version of The Sims built into a browser on Facebook. The team behind The Sims and casual games maker Playfish both worked on the game. Electronic Arts bought Playfish in 2009 when it was vying with social games maker Zynga for the top social gaming spot. Zynga has since lurched ahead and claimed the top spot, with 264 million monthly active.

Before The Sims Social launched, Electronic Arts had around 29 million monthly active users, according to AppData. The company has since risen to around 34.6 million monthly active users, passing social gaming company Wooga (which has around 34 million monthly active users).

The Sims was a smash hit with casual gamers because it was a very light game that was easy to get into and offered a lot of depth. You basically control a “sim” as it lives its life and try to achieve lifetime goals — which lets gamers accomplish whatever they want to do in the game.  The games are known for having tongue-in-cheek humor and sharp writing.

Electronic Arts has not-so-quietly established a fierce casual and social gaming team. The company bought Playfish back in 2009 and also bought casual games maker PopCap for $750 million. Both teams have made successful games, and once the PopCap deal closes, there’s a good chance Playfish will be working with casual games maker PopCap.