379162582560 has 144 divisors (see below), whose sum is σ = 1294271236440. Its totient is φ = 101080412160.

The previous prime is 379162582549. The next prime is 379162582573. The reversal of 379162582560 is 65285261973.

379162582560 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 6 + 2 + 582 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 372387975696 + 6774606864 = 610236^2 + 82308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 379162582497 and 379162582506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119876 + ... + 5193404.

Almost surely, 2^379162582560 is an apocalyptic number.

379162582560 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 379162582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647135618220).

379162582560 is an abundant number, since it is smaller than the sum of its proper divisors (915108653880).

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

379162582560 is a wasteful number, since it uses less digits than its factorization.

379162582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77131 (or 77120 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 379162582560 in words is "three hundred seventy-nine billion, one hundred sixty-two million, five hundred eighty-two thousand, five hundred sixty".