79648396416 has 160 divisors (see below), whose sum is σ = 249508340400. Its totient is φ = 25152062976.

The previous prime is 79648396381. The next prime is 79648396589. The reversal of 79648396416 is 61469384697.

79648396416 is a `hidden beast` number, since 7 + 96 + 48 + 3 + 96 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5170 + ... + 399153.

Almost surely, 2^79648396416 is an apocalyptic number.

79648396416 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 79648396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124754170200).

79648396416 is an abundant number, since it is smaller than the sum of its proper divisors (169859943984).

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

79648396416 is a wasteful number, since it uses less digits than its factorization.

79648396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404368 (or 404347 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 79648396416 in words is "seventy-nine billion, six hundred forty-eight million, three hundred ninety-six thousand, four hundred sixteen".