82932370560 has 512 divisors, whose sum is σ = 326543616000. Its totient is φ = 19753943040.

The previous prime is 82932370553. The next prime is 82932370579. The reversal of 82932370560 is 6507323928.

82932370560 is a `hidden beast` number, since 8 + 29 + 32 + 37 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6957886 + ... + 6969794.

It is an arithmetic number, because the mean of its divisors is an integer number (637780500).

Almost surely, 2^82932370560 is an apocalyptic number.

82932370560 is a gapful number since it is divisible by the number (80) 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 82932370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163271808000).

82932370560 is an abundant number, since it is smaller than the sum of its proper divisors (243611245440).

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

82932370560 is a wasteful number, since it uses less digits than its factorization.

82932370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 82932370560 in words is "eighty-two billion, nine hundred thirty-two million, three hundred seventy thousand, five hundred sixty".