79601644512 has 504 divisors, whose sum is σ = 259383039048. Its totient is φ = 24018508800.

The previous prime is 79601644501. The next prime is 79601644531. The reversal of 79601644512 is 21544610697.

79601644512 is a `hidden beast` number, since 7 + 96 + 0 + 1 + 6 + 44 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 240488187 + ... + 240488517.

It is an arithmetic number, because the mean of its divisors is an integer number (514648887).

Almost surely, 2^79601644512 is an apocalyptic number.

79601644512 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 79601644512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129691519524).

79601644512 is an abundant number, since it is smaller than the sum of its proper divisors (179781394536).

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

79601644512 is a wasteful number, since it uses less digits than its factorization.

79601644512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 410 counting only the distinct ones).

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

The spelling of 79601644512 in words is "seventy-nine billion, six hundred one million, six hundred forty-four thousand, five hundred twelve".