382725558762624 has 320 divisors, whose sum is σ = 1420033326148800. Its totient is φ = 99409235834880.

The previous prime is 382725558762623. The next prime is 382725558762661. The reversal of 382725558762624 is 426267855527283.

382725558762624 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 2 + 5 + 558 + 7 + 6 + 2 + 62 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (382725558762623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238903719 + ... + 240500390.

It is an arithmetic number, because the mean of its divisors is an integer number (4437604144215).

Almost surely, 2^{382725558762624} is an apocalyptic number.

It is an amenable number.

382725558762624 is an abundant number, since it is smaller than the sum of its proper divisors (1037307767386176).

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

382725558762624 is a wasteful number, since it uses less digits than its factorization.

382725558762624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479404153 (or 479404132 counting only the distinct ones).

The product of its digits is 2709504000, while the sum is 72.

The spelling of 382725558762624 in words is "three hundred eighty-two trillion, seven hundred twenty-five billion, five hundred fifty-eight million, seven hundred sixty-two thousand, six hundred twenty-four".