380957679648 has 2304 divisors, whose sum is σ = 1606193971200. Its totient is φ = 82771476480.

The previous prime is 380957679637. The next prime is 380957679659. The reversal of 380957679648 is 846976759083.

380957679648 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 576 + 7 + 9 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (380957679637) and next prime (380957679659).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10296153486 + ... + 10296153522.

It is an arithmetic number, because the mean of its divisors is an integer number (697132800).

Almost surely, 2^380957679648 is an apocalyptic number.

380957679648 is a gapful number since it is divisible by the number (38) 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 380957679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803096985600).

380957679648 is an abundant number, since it is smaller than the sum of its proper divisors (1225236291552).

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

380957679648 is a wasteful number, since it uses less digits than its factorization.

380957679648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 380957679648 in words is "three hundred eighty billion, nine hundred fifty-seven million, six hundred seventy-nine thousand, six hundred forty-eight".