82974537492 has 288 divisors, whose sum is σ = 255732059520. Its totient is φ = 20680289280.

The previous prime is 82974537433. The next prime is 82974537557. The reversal of 82974537492 is 29473547928.

It is a super-2 number, since 2×82974537492² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32448678 + ... + 32451234.

It is an arithmetic number, because the mean of its divisors is an integer number (887958540).

Almost surely, 2^82974537492 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 82974537492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866029760).

82974537492 is an abundant number, since it is smaller than the sum of its proper divisors (172757522028).

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

82974537492 is a wasteful number, since it uses less digits than its factorization.

82974537492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2782 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 82974537492 in words is "eighty-two billion, nine hundred seventy-four million, five hundred thirty-seven thousand, four hundred ninety-two".