On a laptop with 8 GB of RAM, Win 8.1 x32 is installed, but x64 is not installed. Where to dig?

Question

Windows

On a brand new ASUS X556U laptop (i5, 8 GB of RAM), Win8.1 x32 was installed without any problems, but when you try to install Win8.1 x64, the process freezes at the very initial stage - a black background, a blue window, the waiting turntable is spinning. The disk access indicator is silent, removing the distribution media does not change anything. The keyboard and mouse does not respond, you have to turn it off by long pressing the Off key.
The laptop was sold without an OS (more precisely, with FreeDOS). Did MemTest (but not to the end, too long) - no errors were revealed within the limits of what was done. Converted disk MBR<->GPT - no difference. UEFI/non-UEFI - similar. I disabled CSM in the BIOS settings - the disk was no longer visible, I had to return it back.
Where else can you go?
UPD: I just tried to install Win 7 in the same way - x64 also hung, at the stage of the OS version selection menu (the selection rectangle runs through the menu, but is not clicked).
UPD2 : Everything worked out, thanks to everyone who responded. I took the distribution kit fresher - the installation went. But not even right away! First, the distribution kit ultimatum demanded that I switch to UEFI mode, then convert the disk to GPT. But even this was not enough for him: he did not like the previous, pre-prepared partitions of the disk, he had to demolish them and put the OS on an empty unallocated disk. These are the difficulties with these new computers.

Answer 1

Try changing distribution.
There are x64 distributions with 64-bit and 32-bit installers (this installs a 64-bit system). Try both.
Download the latest from the Microsoft website, by the way.