I have had dealings with the SSA the last few months (I call them) but before they speak with you, there are 5 or 6 questions you must answer, not just your name and SS#, or name and last 4. So if you want to have fun with them, tell them that and then wait for the questions. They won't have a clue.
Another reminder, never let anyone connect to your PC and especially not your online bank account.