79085661696 has 240 divisors, whose sum is σ = 233483627520. Its totient is φ = 25762467840.

The previous prime is 79085661679. The next prime is 79085661701. The reversal of 79085661696 is 69616658097.

79085661696 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 5 + 6 + 616 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51926791 + ... + 51928313.

It is an arithmetic number, because the mean of its divisors is an integer number (972848448).

Almost surely, 2^79085661696 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 79085661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116741813760).

79085661696 is an abundant number, since it is smaller than the sum of its proper divisors (154397965824).

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

79085661696 is a wasteful number, since it uses less digits than its factorization.

79085661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 79085661696 in words is "seventy-nine billion, eighty-five million, six hundred sixty-one thousand, six hundred ninety-six".