79104936960 has 1056 divisors, whose sum is σ = 336478851072. Its totient is φ = 17438146560.

The previous prime is 79104936943. The next prime is 79104936961. The reversal of 79104936960 is 6963940197.

79104936960 is a `hidden beast` number, since 7 + 91 + 0 + 493 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79104936897 and 79104936906.

It is not an unprimeable number, because it can be changed into a prime (79104936961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269982574 + ... + 269982866.

Almost surely, 2^79104936960 is an apocalyptic number.

79104936960 is a gapful number since it is divisible by the number (70) 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 79104936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168239425536).

79104936960 is an abundant number, since it is smaller than the sum of its proper divisors (257373914112).

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

79104936960 is a wasteful number, since it uses less digits than its factorization.

79104936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

It can be divided in two parts, 79104 and 936960, that added together give a square (1016064 = 1008²).

The spelling of 79104936960 in words is "seventy-nine billion, one hundred four million, nine hundred thirty-six thousand, nine hundred sixty".