79410382128 has 960 divisors, whose sum is σ = 302308651008. Its totient is φ = 19584322560.

The previous prime is 79410382111. The next prime is 79410382151. The reversal of 79410382128 is 82128301497.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742153051 + ... + 742153157.

Almost surely, 2^79410382128 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 79410382128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151154325504).

79410382128 is an abundant number, since it is smaller than the sum of its proper divisors (222898268880).

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

79410382128 is a wasteful number, since it uses less digits than its factorization.

79410382128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 79410382128 in words is "seventy-nine billion, four hundred ten million, three hundred eighty-two thousand, one hundred twenty-eight".