If the IRS accepted your return, there really isn't anything you should do now. Wait and see if the IRS processes your refund.
Check Where's My Refund? to see if you can get a status using your correct SSN - if you can, and the information is correct, then you don't have a problem.
If you don't receive a refund (and they are very slow this year), you may have to amend your return to correct the SSN. You'd have to file the amended return by mail and include a very brief letter explaining what you changed.