79996348656 has 960 divisors, whose sum is σ = 298986577920. Its totient is φ = 20321280000.

The previous prime is 79996348567. The next prime is 79996348669. The reversal of 79996348656 is 65684369997.

79996348656 is a `hidden beast` number, since 7 + 9 + 9 + 96 + 3 + 486 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 792043006 + ... + 792043106.

It is an arithmetic number, because the mean of its divisors is an integer number (311444352).

Almost surely, 2^79996348656 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 79996348656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149493288960).

79996348656 is an abundant number, since it is smaller than the sum of its proper divisors (218990229264).

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

79996348656 is a wasteful number, since it uses less digits than its factorization.

79996348656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 79996348656 in words is "seventy-nine billion, nine hundred ninety-six million, three hundred forty-eight thousand, six hundred fifty-six".