382994504640 has 840 divisors, whose sum is σ = 1500915911040. Its totient is φ = 89545420800.

The previous prime is 382994504623. The next prime is 382994504693. The reversal of 382994504640 is 46405499283.

382994504640 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 94 + 504 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1307148334 + ... + 1307148626.

It is an arithmetic number, because the mean of its divisors is an integer number (1786804656).

Almost surely, 2^382994504640 is an apocalyptic number.

382994504640 is a gapful number since it is divisible by the number (30) 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 382994504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750457955520).

382994504640 is an abundant number, since it is smaller than the sum of its proper divisors (1117921406400).

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

382994504640 is a wasteful number, since it uses less digits than its factorization.

382994504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 382994504640 in words is "three hundred eighty-two billion, nine hundred ninety-four million, five hundred four thousand, six hundred forty".