79537637145600 has 1848 divisors, whose sum is σ = 305521422564960. Its totient is φ = 20505827082240.

The previous prime is 79537637145581. The next prime is 79537637145649. The reversal of 79537637145600 is 654173673597.

79537637145600 is a `hidden beast` number, since 7 + 9 + 5 + 3 + 7 + 6 + 3 + 7 + 14 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 158126514949 + ... + 158126515451.

Almost surely, 2^{79537637145600} 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 79537637145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152760711282480).

79537637145600 is an abundant number, since it is smaller than the sum of its proper divisors (225983785419360).

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

79537637145600 is a wasteful number, since it uses less digits than its factorization.

79537637145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 79537637145600 in words is "seventy-nine trillion, five hundred thirty-seven billion, six hundred thirty-seven million, one hundred forty-five thousand, six hundred".