I registered on http://Oracle.com in order to download 11g R2 Express edition database. But http://Oracle.com offered me download links only for Windows 32bit and for Linux 64bit.
Is there somewhere 64bit Windows version of Oracle 11g XE database? Are 64bit versions available only for paid Oracle db?
There is no Windows 64-bit version of Oracle Express Edition. You'll have to go for Standard/Enterprise editions.