379676436480000 has 2400 divisors, whose sum is σ = 1547155695697920. Its totient is φ = 91225128960000.

The previous prime is 379676436479971. The next prime is 379676436480157. The reversal of 379676436480000 is 84634676973.

379676436480000 is a `hidden beast` number, since 3 + 7 + 9 + 67 + 64 + 36 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a self number, because there is not a number n which added to its sum of digits gives 379676436480000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386242559509 + ... + 386242560491.

Almost surely, 2^{379676436480000} is an apocalyptic number.

379676436480000 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 379676436480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773577847848960).

379676436480000 is an abundant number, since it is smaller than the sum of its proper divisors (1167479259217920).

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

379676436480000 is an equidigital number, since it uses as much as digits as its factorization.

379676436480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 379676436480000 in words is "three hundred seventy-nine trillion, six hundred seventy-six billion, four hundred thirty-six million, four hundred eighty thousand".