79569008640 has 1536 divisors, whose sum is σ = 348147072000. Its totient is φ = 17199267840.

The previous prime is 79569008633. The next prime is 79569008677. The reversal of 79569008640 is 4680096597.

79569008640 is a `hidden beast` number, since 79 + 569 + 0 + 0 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4187842551 + ... + 4187842569.

It is an arithmetic number, because the mean of its divisors is an integer number (226658250).

Almost surely, 2^79569008640 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 79569008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536000).

79569008640 is an abundant number, since it is smaller than the sum of its proper divisors (268578063360).

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

79569008640 is a wasteful number, since it uses less digits than its factorization.

79569008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79569008640 in words is "seventy-nine billion, five hundred sixty-nine million, eight thousand, six hundred forty".