79737792552 has 256 divisors, whose sum is σ = 245452896000. Its totient is φ = 24080094720.

The previous prime is 79737792551. The next prime is 79737792601. The reversal of 79737792552 is 25529773797.

79737792552 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 7 + 79 + 2 + 552 = 666.

It is a super-2 number, since 2×79737792552² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 79737792552.

It is not an unprimeable number, because it can be changed into a prime (79737792551) 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, 78713998 + ... + 78715010.

It is an arithmetic number, because the mean of its divisors is an integer number (958800375).

Almost surely, 2^79737792552 is an apocalyptic number.

79737792552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79737792552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122726448000).

79737792552 is an abundant number, since it is smaller than the sum of its proper divisors (165715103448).

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

79737792552 is a wasteful number, since it uses less digits than its factorization.

79737792552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1438 counting only the distinct ones).

The product of its digits is 58344300, while the sum is 63.

The spelling of 79737792552 in words is "seventy-nine billion, seven hundred thirty-seven million, seven hundred ninety-two thousand, five hundred fifty-two".