79645011264 has 896 divisors, whose sum is σ = 301389491200. Its totient is φ = 20437567488.

The previous prime is 79645011253. The next prime is 79645011287. The reversal of 79645011264 is 46211054697.

79645011264 is a `hidden beast` number, since 79 + 6 + 4 + 501 + 12 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2152567854 + ... + 2152567890.

It is an arithmetic number, because the mean of its divisors is an integer number (336372200).

Almost surely, 2^79645011264 is an apocalyptic number.

79645011264 is a gapful number since it is divisible by the number (74) 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 79645011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150694745600).

79645011264 is an abundant number, since it is smaller than the sum of its proper divisors (221744479936).

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

79645011264 is an frugal number, since it uses more digits than its factorization.

79645011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79645011264 in words is "seventy-nine billion, six hundred forty-five million, eleven thousand, two hundred sixty-four".