I gave notice recently. So here is the summary : folks forget about you in a jiffy. At least I was. Nothing to sign, you don't have to mention where you are going if you don't want to ( I did, as I felt obligated to my manager ), nothing to sign (I was told that HR will conduct an exit interview, I reached out to HR about 3 days before my exit as no one contacted me, and they said that I will get an automated email about exit survey 2 weeks after I leave - that's correct, 2 week after I leave on my Oracle email address , which I didn't have access to !) . In the end, in US engineering group, I didn't had to sign anything, my phone and insurance was cancelled the night of my departure, no one cared about where I went, and only official communication was to turn over my laptop and VPN. In the end, a pretty painless exit. Nothing to worry about.
Oh yeah, don't forget to sell your stocks within 3 months. All stocks over the year I got as bonus would have zeroed out in 3 months, I was lucky to catch that from a colleague, and i verified in fine print.
I called my telephone company , and they needed some account information about Oracle, so glad I did it, as this info was on internal intranet. I got my number transferred to my personal account, as Oracle releases number back in the midnight of departure .
Only advise - ask your manager if they would be kind enough to mark you as "eligible for rehire". If they don't, you can never come back to Oracle, ever.