379896584664960 has 3072 divisors, whose sum is σ = 1593803030077440. Its totient is φ = 85558992076800.

The previous prime is 379896584664929. The next prime is 379896584664977. The reversal of 379896584664960 is 69466485698973.

379896584664960 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 9 + 6 + 58 + 4 + 66 + 496 + 0 = 666.

It is a super-2 number, since 2×379896584664960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

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, 199211632327 + ... + 199211634233.

It is an arithmetic number, because the mean of its divisors is an integer number (518816090520).

Almost surely, 2^{379896584664960} is an apocalyptic number.

379896584664960 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 379896584664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796901515038720).

379896584664960 is an abundant number, since it is smaller than the sum of its proper divisors (1213906445412480).

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

379896584664960 is a wasteful number, since it uses less digits than its factorization.

379896584664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 101583175680, while the sum is 90.

The spelling of 379896584664960 in words is "three hundred seventy-nine trillion, eight hundred ninety-six billion, five hundred eighty-four million, six hundred sixty-four thousand, nine hundred sixty".