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Most books and papers on writing software exploits are written for the x86 processor family.
So there are probably a lot of “hackers” or crackers that only know x86 assembly.
Can you conclude from this, that 64 bit software is safer than 32 bit?
No. The x86_64 CPUs out there can run x86 (32bit) code natively, and most operating systems that cater for x86_64 allow this (optionally or not, transparently or not).
You get all the attack vectors that existed for x86, plus anything else that was added with x86_64.
But the x86_64 generation of chips also brought security features like the NX bit. This type of thing can help reducing risk.