79865415936 has 288 divisors, whose sum is σ = 251436528000. Its totient is φ = 24933629952.

The previous prime is 79865415913. The next prime is 79865415977. The reversal of 79865415936 is 63951456897.

79865415936 is a `hidden beast` number, since 7 + 9 + 8 + 6 + 541 + 59 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11684776 + ... + 11691608.

It is an arithmetic number, because the mean of its divisors is an integer number (873043500).

Almost surely, 2^79865415936 is an apocalyptic number.

79865415936 is a gapful number since it is divisible by the number (76) 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 79865415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718264000).

79865415936 is an abundant number, since it is smaller than the sum of its proper divisors (171571112064).

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

79865415936 is a wasteful number, since it uses less digits than its factorization.

79865415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6946 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 79865415936 in words is "seventy-nine billion, eight hundred sixty-five million, four hundred fifteen thousand, nine hundred thirty-six".