82933867296 has 432 divisors, whose sum is σ = 294976805760. Its totient is φ = 21967303680.

The previous prime is 82933867273. The next prime is 82933867363. The reversal of 82933867296 is 69276833928.

82933867296 is a `hidden beast` number, since 8 + 2 + 9 + 338 + 6 + 7 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12598726 + ... + 12605306.

It is an arithmetic number, because the mean of its divisors is an integer number (682816680).

Almost surely, 2^82933867296 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 82933867296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147488402880).

82933867296 is an abundant number, since it is smaller than the sum of its proper divisors (212042938464).

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

82933867296 is a wasteful number, since it uses less digits than its factorization.

82933867296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6659 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 82933867296 in words is "eighty-two billion, nine hundred thirty-three million, eight hundred sixty-seven thousand, two hundred ninety-six".