379518050856960 has 1872 divisors, whose sum is σ = 1438280308168704. Its totient is φ = 92494576484352.

The previous prime is 379518050856911. The next prime is 379518050856983. The reversal of 379518050856960 is 69658050815973.

It is a happy number.

379518050856960 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 1 + 8 + 0 + 50 + 8 + 569 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 510791454349 + ... + 510791455091.

It is an arithmetic number, because the mean of its divisors is an integer number (768312130432).

Almost surely, 2^{379518050856960} is an apocalyptic number.

379518050856960 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 379518050856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719140154084352).

379518050856960 is an abundant number, since it is smaller than the sum of its proper divisors (1058762257311744).

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

379518050856960 is a wasteful number, since it uses less digits than its factorization.

379518050856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 379518050856960 in words is "three hundred seventy-nine trillion, five hundred eighteen billion, fifty million, eight hundred fifty-six thousand, nine hundred sixty".