79588724040 has 320 divisors, whose sum is σ = 316266508800. Its totient is φ = 17564262912.

The previous prime is 79588724027. The next prime is 79588724053. The reversal of 79588724040 is 4042788597.

It is a happy number.

79588724040 is a `hidden beast` number, since 7 + 95 + 88 + 72 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79588724027) and next prime (79588724053).

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 79 ways as a sum of consecutive naturals, for example, 597217 + ... + 718223.

It is an arithmetic number, because the mean of its divisors is an integer number (988332840).

Almost surely, 2^79588724040 is an apocalyptic number.

79588724040 is a gapful number since it is divisible by the number (70) 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 79588724040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158133254400).

79588724040 is an abundant number, since it is smaller than the sum of its proper divisors (236677784760).

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

79588724040 is a wasteful number, since it uses less digits than its factorization.

79588724040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121066 (or 121053 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 79588724040 in words is "seventy-nine billion, five hundred eighty-eight million, seven hundred twenty-four thousand, forty".