82732767142564 has 60 divisors (see below), whose sum is σ = 184257472352688. Its totient is φ = 32233545598800.

The previous prime is 82732767142561. The next prime is 82732767142637. The reversal of 82732767142564 is 46524176723728.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82732767142496 and 82732767142505.

It is not an unprimeable number, because it can be changed into a prime (82732767142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391458322 + ... + 391669609.

Almost surely, 2^{82732767142564} is an apocalyptic number.

It is an amenable number.

82732767142564 is an abundant number, since it is smaller than the sum of its proper divisors (101524705210124).

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

82732767142564 is a wasteful number, since it uses less digits than its factorization.

82732767142564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783127974 (or 783127951 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 64.

The spelling of 82732767142564 in words is "eighty-two trillion, seven hundred thirty-two billion, seven hundred sixty-seven million, one hundred forty-two thousand, five hundred sixty-four".