If i have a website and site name contain "google" name. As a example my site name is "www.googlethemes.com". Can i apply Adsense into this website. If i apply will google band my adsense account.
Why do you even want to associate yourself with Google? You just want to use the Google brand in hopes that it will help you with your site huh? What a load of bullcrap.
Even if it is ok... I suggest you don't use that name at all... Google is powerful in their own way and you surely don't want to piss them off.. GC