79065519676416 has 704 divisors, whose sum is σ = 303357356108800. Its totient is φ = 19754935713792.

The previous prime is 79065519676337. The next prime is 79065519676469. The reversal of 79065519676416 is 61467691556097.

79065519676416 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 5 + 51 + 96 + 76 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46976406 + ... + 48630378.

Almost surely, 2^{79065519676416} is an apocalyptic number.

79065519676416 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 79065519676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151678678054400).

79065519676416 is an abundant number, since it is smaller than the sum of its proper divisors (224291836432384).

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

79065519676416 is a wasteful number, since it uses less digits than its factorization.

79065519676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654041 (or 1654017 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 79065519676416 in words is "seventy-nine trillion, sixty-five billion, five hundred nineteen million, six hundred seventy-six thousand, four hundred sixteen".