379887067964160 has 1152 divisors, whose sum is σ = 1483103062425600. Its totient is φ = 91651016540160.

The previous prime is 379887067964153. The next prime is 379887067964177. The reversal of 379887067964160 is 61469760788973.

379887067964160 is a `hidden beast` number, since 3 + 79 + 8 + 8 + 70 + 67 + 9 + 6 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 379887067964160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9529796389 + ... + 9529836251.

It is an arithmetic number, because the mean of its divisors is an integer number (1287415852800).

Almost surely, 2^{379887067964160} is an apocalyptic number.

379887067964160 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 379887067964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741551531212800).

379887067964160 is an abundant number, since it is smaller than the sum of its proper divisors (1103215994461440).

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

379887067964160 is a wasteful number, since it uses less digits than its factorization.

379887067964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40566 (or 40546 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 379887067964160 in words is "three hundred seventy-nine trillion, eight hundred eighty-seven billion, sixty-seven million, nine hundred sixty-four thousand, one hundred sixty".