74960327924768 has 192 divisors, whose sum is σ = 177314060206080. Its totient is φ = 30739820160000.

The previous prime is 74960327924723. The next prime is 74960327924789. The reversal of 74960327924768 is 86742972306947.

It is a junction number, because it is equal to n+sod(n) for n = 74960327924695 and 74960327924704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154394393 + ... + 154879143.

It is an arithmetic number, because the mean of its divisors is an integer number (923510730240).

Almost surely, 2^{74960327924768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74960327924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88657030103040).

74960327924768 is an abundant number, since it is smaller than the sum of its proper divisors (102353732281312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74960327924768 is a wasteful number, since it uses less digits than its factorization.

74960327924768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485551 (or 485543 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 74.

The spelling of 74960327924768 in words is "seventy-four trillion, nine hundred sixty billion, three hundred twenty-seven million, nine hundred twenty-four thousand, seven hundred sixty-eight".