82729545264 has 40 divisors (see below), whose sum is σ = 237464436720. Its totient is φ = 27576514944.

The previous prime is 82729545137. The next prime is 82729545287. The reversal of 82729545264 is 46254592728.

82729545264 is a `hidden beast` number, since 8 + 2 + 72 + 9 + 545 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82729545264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95751357 + ... + 95752220.

It is an arithmetic number, because the mean of its divisors is an integer number (5936610918).

Almost surely, 2^82729545264 is an apocalyptic number.

It is an amenable number.

82729545264 is an abundant number, since it is smaller than the sum of its proper divisors (154734891456).

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

82729545264 is a wasteful number, since it uses less digits than its factorization.

82729545264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191503594 (or 191503582 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 82729545264 in words is "eighty-two billion, seven hundred twenty-nine million, five hundred forty-five thousand, two hundred sixty-four".