79656258240 has 672 divisors, whose sum is σ = 302053752000. Its totient is φ = 19150110720.

The previous prime is 79656258229. The next prime is 79656258347. The reversal of 79656258240 is 4285265697.

79656258240 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 625 + 8 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534605686 + ... + 534605834.

It is an arithmetic number, because the mean of its divisors is an integer number (449484750).

Almost surely, 2^79656258240 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 79656258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151026876000).

79656258240 is an abundant number, since it is smaller than the sum of its proper divisors (222397493760).

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

79656258240 is a wasteful number, since it uses less digits than its factorization.

79656258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 79656258240 in words is "seventy-nine billion, six hundred fifty-six million, two hundred fifty-eight thousand, two hundred forty".