380788166560320 has 448 divisors, whose sum is σ = 1355145271050240. Its totient is φ = 100652299646976.

The previous prime is 380788166560309. The next prime is 380788166560387. The reversal of 380788166560320 is 23065661887083.

It is a happy number.

380788166560320 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 8 + 8 + 1 + 66 + 560 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1210142529 + ... + 1210457151.

Almost surely, 2^{380788166560320} is an apocalyptic number.

380788166560320 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 380788166560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677572635525120).

380788166560320 is an abundant number, since it is smaller than the sum of its proper divisors (974357104489920).

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

380788166560320 is a wasteful number, since it uses less digits than its factorization.

380788166560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315879 (or 315863 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 380788166560320 in words is "three hundred eighty trillion, seven hundred eighty-eight billion, one hundred sixty-six million, five hundred sixty thousand, three hundred twenty".