It did for a while, but has been mostly subsumed by Facebook in India, and increasingly in Brazil.

Edit: see, for example: http://cybergyaan.blogspot.com/2010/05/orkut-vs-facebook.htm...

No, Google created Orkut.

In 2003, Google offered to purchase the social network Friendster, but the offer was declined by that company. Google then internally commissioned Orkut Büyükkökten to work on a competing independent project. The result was Orkut. The product launched on January 24, 2004.

http://en.wikipedia.org/wiki/Orkut#History_of_orkut

(If it isn't clear from that quote, Orkut Büyükkökten was a Google employee)

They named it after an individual? How odd. It's like Facebook being called Zuckbook.