82731564684 has 72 divisors (see below), whose sum is σ = 211872926720. Its totient is φ = 27215416800.

The previous prime is 82731564683. The next prime is 82731564689. The reversal of 82731564684 is 48646513728.

It is a happy number.

82731564684 is a `hidden beast` number, since 8 + 2 + 73 + 1 + 564 + 6 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82731564684.

It is not an unprimeable number, because it can be changed into a prime (82731564683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7590879 + ... + 7601769.

Almost surely, 2^82731564684 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 82731564684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105936463360).

82731564684 is an abundant number, since it is smaller than the sum of its proper divisors (129141362036).

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

82731564684 is a wasteful number, since it uses less digits than its factorization.

82731564684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651 (or 13646 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 82731564684 in words is "eighty-two billion, seven hundred thirty-one million, five hundred sixty-four thousand, six hundred eighty-four".