379568177192960 has 3584 divisors, whose sum is σ = 1278426356121600. Its totient is φ = 105020003450880.

The previous prime is 379568177192933. The next prime is 379568177193059. The reversal of 379568177192960 is 69291771865973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×379568177192960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3913073991632 + ... + 3913073991728.

It is an arithmetic number, because the mean of its divisors is an integer number (356703782400).

Almost surely, 2^{379568177192960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379568177192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639213178060800).

379568177192960 is an abundant number, since it is smaller than the sum of its proper divisors (898858178928640).

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

379568177192960 is a wasteful number, since it uses less digits than its factorization.

379568177192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 80.

The spelling of 379568177192960 in words is "three hundred seventy-nine trillion, five hundred sixty-eight billion, one hundred seventy-seven million, one hundred ninety-two thousand, nine hundred sixty".