According to this: Omega caliber 1620..."It is powered by two batteries (SSIH 9909 / Vartachron 547)."
Then this table: link...gives the Varta 392 (and others) as the modern equivalent to the old 547. There is a sales link from the table and they seem also to be available on Amazon and elsewhere.
Edit: The battery type is confirmed on page 2 of the manual: link.