382567783752 has 128 divisors (see below), whose sum is σ = 1324910131200. Its totient is φ = 99368251200.

The previous prime is 382567783733. The next prime is 382567783753. The reversal of 382567783752 is 257387765283.

382567783752 is a `hidden beast` number, since 3 + 8 + 256 + 7 + 7 + 8 + 375 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382567783752.

It is not an unprimeable number, because it can be changed into a prime (382567783753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11484324 + ... + 11517587.

It is an arithmetic number, because the mean of its divisors is an integer number (10350860400).

Almost surely, 2^382567783752 is an apocalyptic number.

It is an amenable number.

382567783752 is an abundant number, since it is smaller than the sum of its proper divisors (942342347448).

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

382567783752 is a wasteful number, since it uses less digits than its factorization.

382567783752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23001944 (or 23001934 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 382567783752 in words is "three hundred eighty-two billion, five hundred sixty-seven million, seven hundred eighty-three thousand, seven hundred fifty-two".