FOUND THE SOLVE
Go to device manager, on the menu Action, add a legacy hardware; install the hardware manually from a list, select network adapter, clic Have Disk... button and point it to Program Files, Logmein Hamachi and select hamachi.inf file.
Lets try this.
Pressing F8 before windows starts - besides starting in safe mode there should be an option
"allow unsigned drivers" - after you press that the OS should be booting as usual.
OK, so we are closer to the solution. I will be back soon with a setting to keep it installed.
@Surbeck are you running Windows 10?
Its funny how so many people ask for help but never give the actual OS version they are running (rant over).
Go to the device manager and right click on the Hamachi Network Adaptor and select Properties
Is there an advanced tab?