82971744768 has 400 divisors, whose sum is σ = 271649220480. Its totient is φ = 25004851200.

The previous prime is 82971744743. The next prime is 82971744799. The reversal of 82971744768 is 86744717928.

82971744768 is a `hidden beast` number, since 8 + 2 + 97 + 1 + 74 + 476 + 8 = 666.

It is a super-2 number, since 2×82971744768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109029508 + ... + 109030268.

Almost surely, 2^82971744768 is an apocalyptic number.

82971744768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82971744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135824610240).

82971744768 is an abundant number, since it is smaller than the sum of its proper divisors (188677475712).

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

82971744768 is a wasteful number, since it uses less digits than its factorization.

82971744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1016 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 82971744768 in words is "eighty-two billion, nine hundred seventy-one million, seven hundred forty-four thousand, seven hundred sixty-eight".