79506004032 has 1344 divisors, whose sum is σ = 321283584000. Its totient is φ = 18787811328.

The previous prime is 79506004007. The next prime is 79506004103. The reversal of 79506004032 is 23040060597.

79506004032 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 600 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 893325844 + ... + 893325932.

Almost surely, 2^79506004032 is an apocalyptic number.

79506004032 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 79506004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160641792000).

79506004032 is an abundant number, since it is smaller than the sum of its proper divisors (241777579968).

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

79506004032 is a wasteful number, since it uses less digits than its factorization.

79506004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 79506004032 in words is "seventy-nine billion, five hundred six million, four thousand, thirty-two".