Happened on 2 newly bought computers (laptop and desktop) with Windows 7 64-bit, that had Microsoft Office 2007 pre-installed. I had to uninstall it because I use Office 2003. Trick is that there is really nothing wrong with MAPI32.DLL. You need to rename C:\Program Files\Common Files\System\Msmapi\1033\MSMAPI32.DLL to fix the issue.
(But, if you ever need to rename MAPI32.DLL you wouldn't be able to do it unless you take ownership and give yourself RW permission, even if you have admin credentials already).
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