82656724640 has 48 divisors (see below), whose sum is σ = 223173159552. Its totient is φ = 28339448064.

The previous prime is 82656724639. The next prime is 82656724643. The reversal of 82656724640 is 4642765628.

It is not an unprimeable number, because it can be changed into a prime (82656724643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36899204 + ... + 36901443.

It is an arithmetic number, because the mean of its divisors is an integer number (4649440824).

Almost surely, 2^82656724640 is an apocalyptic number.

82656724640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82656724640 is an abundant number, since it is smaller than the sum of its proper divisors (140516434912).

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

82656724640 is a wasteful number, since it uses less digits than its factorization.

82656724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73800669 (or 73800661 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 82656724640 in words is "eighty-two billion, six hundred fifty-six million, seven hundred twenty-four thousand, six hundred forty".