75790100542464 has 704 divisors, whose sum is σ = 284581761177600. Its totient is φ = 19352051712000.

The previous prime is 75790100542439. The next prime is 75790100542469. The reversal of 75790100542464 is 46424500109757.

75790100542464 is a `hidden beast` number, since 7 + 5 + 7 + 90 + 1 + 0 + 0 + 542 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a self number, because there is not a number n which added to its sum of digits gives 75790100542464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75790100542469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125303164 + ... + 125906564.

Almost surely, 2^{75790100542464} 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 75790100542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142290880588800).

75790100542464 is an abundant number, since it is smaller than the sum of its proper divisors (208791660635136).

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

75790100542464 is a wasteful number, since it uses less digits than its factorization.

75790100542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603507 (or 603483 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 75790100542464 in words is "seventy-five trillion, seven hundred ninety billion, one hundred million, five hundred forty-two thousand, four hundred sixty-four".