82790418816 has 672 divisors, whose sum is σ = 303119285400. Its totient is φ = 22385922048.

The previous prime is 82790418773. The next prime is 82790418833. The reversal of 82790418816 is 61881409728.

82790418816 is a `hidden beast` number, since 82 + 79 + 0 + 418 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86872996 + ... + 86873948.

Almost surely, 2^82790418816 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 82790418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151559642700).

82790418816 is an abundant number, since it is smaller than the sum of its proper divisors (220328866584).

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

82790418816 is an equidigital number, since it uses as much as digits as its factorization.

82790418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 82790418816 in words is "eighty-two billion, seven hundred ninety million, four hundred eighteen thousand, eight hundred sixteen".