379512096768000 has 4320 divisors, whose sum is σ = 1679935842224640. Its totient is φ = 85212816998400.

The previous prime is 379512096767989. The next prime is 379512096768017. The reversal of 379512096768000 is 867690215973.

379512096768000 is a `hidden beast` number, since 37 + 9 + 512 + 0 + 9 + 6 + 7 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1926457343902 + ... + 1926457344098.

It is an arithmetic number, because the mean of its divisors is an integer number (388874037552).

Almost surely, 2^{379512096768000} is an apocalyptic number.

379512096768000 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 379512096768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839967921112320).

379512096768000 is an abundant number, since it is smaller than the sum of its proper divisors (1300423745456640).

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

379512096768000 is an frugal number, since it uses more digits than its factorization.

379512096768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 379512096768000 in words is "three hundred seventy-nine trillion, five hundred twelve billion, ninety-six million, seven hundred sixty-eight thousand".