382827005568 has 1152 divisors, whose sum is σ = 1416055979520. Its totient is φ = 102429702144.

The previous prime is 382827005527. The next prime is 382827005579. The reversal of 382827005568 is 865500728283.

382827005568 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 2 + 70 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2348631855 + ... + 2348632017.

It is an arithmetic number, because the mean of its divisors is an integer number (1229215260).

Almost surely, 2^382827005568 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 382827005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708027989760).

382827005568 is an abundant number, since it is smaller than the sum of its proper divisors (1033228973952).

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

382827005568 is a wasteful number, since it uses less digits than its factorization.

382827005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 382827005568 in words is "three hundred eighty-two billion, eight hundred twenty-seven million, five thousand, five hundred sixty-eight".