82549766304 has 96 divisors (see below), whose sum is σ = 240926616000. Its totient is φ = 27498707712.

The previous prime is 82549766293. The next prime is 82549766311. The reversal of 82549766304 is 40366794528.

82549766304 is a `hidden beast` number, since 8 + 2 + 549 + 7 + 66 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334002 + ... + 1394510.

It is an arithmetic number, because the mean of its divisors is an integer number (2509652250).

Almost surely, 2^82549766304 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 82549766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463308000).

82549766304 is an abundant number, since it is smaller than the sum of its proper divisors (158376849696).

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

82549766304 is a wasteful number, since it uses less digits than its factorization.

82549766304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62107 (or 62093 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 82549766304 in words is "eighty-two billion, five hundred forty-nine million, seven hundred sixty-six thousand, three hundred four".