75640957056 has 640 divisors, whose sum is σ = 269963971200. Its totient is φ = 20567457792.

The previous prime is 75640956991. The next prime is 75640957087. The reversal of 75640957056 is 65075904657.

75640957056 is a `hidden beast` number, since 7 + 5 + 64 + 0 + 9 + 570 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75640956993 and 75640957011.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174690216 + ... + 174690648.

It is an arithmetic number, because the mean of its divisors is an integer number (421818705).

Almost surely, 2^75640957056 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 75640957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134981985600).

75640957056 is an abundant number, since it is smaller than the sum of its proper divisors (194323014144).

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

75640957056 is a wasteful number, since it uses less digits than its factorization.

75640957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 75640957056 in words is "seventy-five billion, six hundred forty million, nine hundred fifty-seven thousand, fifty-six".