382073739264 has 480 divisors, whose sum is σ = 1313497785600. Its totient is φ = 108391219200.

The previous prime is 382073739227. The next prime is 382073739319. The reversal of 382073739264 is 462937370283.

382073739264 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 7 + 373 + 9 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382073739264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175342527 + ... + 175344705.

It is an arithmetic number, because the mean of its divisors is an integer number (2736453720).

Almost surely, 2^382073739264 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 382073739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656748892800).

382073739264 is an abundant number, since it is smaller than the sum of its proper divisors (931424046336).

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

382073739264 is a wasteful number, since it uses less digits than its factorization.

382073739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 382073739264 in words is "three hundred eighty-two billion, seventy-three million, seven hundred thirty-nine thousand, two hundred sixty-four".