382596688656 has 1280 divisors, whose sum is σ = 1559900160000. Its totient is φ = 86784638976.

The previous prime is 382596688633. The next prime is 382596688681. The reversal of 382596688656 is 656886695283.

382596688656 is a `hidden beast` number, since 382 + 59 + 66 + 88 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 368234985 + ... + 368236023.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672000).

Almost surely, 2^382596688656 is an apocalyptic number.

382596688656 is a gapful number since it is divisible by the number (36) 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 382596688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080000).

382596688656 is an abundant number, since it is smaller than the sum of its proper divisors (1177303471344).

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

382596688656 is a wasteful number, since it uses less digits than its factorization.

382596688656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 382596688656 in words is "three hundred eighty-two billion, five hundred ninety-six million, six hundred eighty-eight thousand, six hundred fifty-six".