75917563904 has 384 divisors, whose sum is σ = 198132480000. Its totient is φ = 28262006784.

The previous prime is 75917563903. The next prime is 75917563919. The reversal of 75917563904 is 40936571957.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 75917563904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75917563903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381495197 + ... + 381495395.

It is an arithmetic number, because the mean of its divisors is an integer number (515970000).

Almost surely, 2^75917563904 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 75917563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240000).

75917563904 is an abundant number, since it is smaller than the sum of its proper divisors (122214916096).

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

75917563904 is a wasteful number, since it uses less digits than its factorization.

75917563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 56.

The spelling of 75917563904 in words is "seventy-five billion, nine hundred seventeen million, five hundred sixty-three thousand, nine hundred four".