I knew the number to call because my broker gave it to me (the 1-800 number along with the prompts ie. push 3 than 3). Usually it takes about 3-5 days. I would allow at least 3 business days before calling and then check back every couple of days. If you aren't in the system after a week and a half, I would call your broker or escrow company and make sure everything is OK. It took a little over a week for me, but it was mid December and the person who does the transfers had been on vacation for a week and it took her a bit to get caught back up. (as told to be by my broker).
If you didn't give them your SS#, they can look you up by name.