82908363672 has 512 divisors, whose sum is σ = 261273600000. Its totient is φ = 24237480960.

The previous prime is 82908363623. The next prime is 82908363701. The reversal of 82908363672 is 27636380928.

82908363672 = 1303³ + 1304³ + ... + 1338³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 596462979 + ... + 596463117.

It is an arithmetic number, because the mean of its divisors is an integer number (510300000).

Almost surely, 2^82908363672 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 82908363672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800000).

82908363672 is an abundant number, since it is smaller than the sum of its proper divisors (178365236328).

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

82908363672 is a wasteful number, since it uses less digits than its factorization.

82908363672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82908363672 in words is "eighty-two billion, nine hundred eight million, three hundred sixty-three thousand, six hundred seventy-two".