79528694400 has 384 divisors, whose sum is σ = 292191566400. Its totient is φ = 21124730880.

The previous prime is 79528694393. The next prime is 79528694411. The reversal of 79528694400 is 449682597.

79528694400 is a `hidden beast` number, since 79 + 5 + 2 + 86 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23931139 + ... + 23934461.

Almost surely, 2^79528694400 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 79528694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095783200).

79528694400 is an abundant number, since it is smaller than the sum of its proper divisors (212662872000).

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

79528694400 is a wasteful number, since it uses less digits than its factorization.

79528694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 79528694400 in words is "seventy-nine billion, five hundred twenty-eight million, six hundred ninety-four thousand, four hundred".