82337072384 has 108 divisors (see below), whose sum is σ = 191349010944. Its totient is φ = 35257162752.

The previous prime is 82337072359. The next prime is 82337072387. The reversal of 82337072384 is 48327073328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82337072387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20858699 + ... + 20862645.

Almost surely, 2^82337072384 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 82337072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95674505472).

82337072384 is an abundant number, since it is smaller than the sum of its proper divisors (109011938560).

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

82337072384 is a wasteful number, since it uses less digits than its factorization.

82337072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 82337072384 in words is "eighty-two billion, three hundred thirty-seven million, seventy-two thousand, three hundred eighty-four".