About dialog doesn't show bit-ness - 64-bit, 32-bit - of the LO build. I gather for Linux it is not so important: most distros are now either fully 64bit or fully 32bit (as OSS software goes). Mac OS X doesn't seem to have 64-bit builds at the moment. But on Windows, finding bitness of the version installed is bit tricky otherwise. At least I found only one, tricky way. One need to find the LO (aka soffice.exe) in the Task Manager window (which to my knowledge isn't the most end-user friendly tool) and see the bit-ness from there: on 64-bit Windows, 32-bit processes are marked with '*32' suffix.
Since there is currently no 64-Bit version for Mac and Windows, this enhancement request depends on bug 58663 and bug 61683. Thanks for reporting this bug!
Why would it *need* to show? Those that actually understand what bitness means know how to find it (as you described for Windows).
iTunes does show 64-bit info. And turn the question around: if an About window exists, why not display info about the software at hand? Still valid for 4.2.4.2.
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