Your a/d requirement is far beyond an arduino in number of channels and resolution . You will need some significant external hardware to achieve this.
If you really need 'simultaneous ' sampling you can't use a mux. and will need 60 adc's, or perhaps 60 sample and hold devices , a mux and a fast adc. These exist.
Not a trivial problem.
NI do some good instrumentation packages - but not cheap.
Allan