380972876453568 has 672 divisors, whose sum is σ = 1339358972889600. Its totient is φ = 101106736054272.

The previous prime is 380972876453557. The next prime is 380972876453677. The reversal of 380972876453568 is 865354678279083.

380972876453568 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 7 + 2 + 8 + 7 + 6 + 45 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6183690348 + ... + 6183751956.

Almost surely, 2^{380972876453568} is an apocalyptic number.

380972876453568 is a gapful number since it is divisible by the number (38) 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 380972876453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669679486444800).

380972876453568 is an abundant number, since it is smaller than the sum of its proper divisors (958386096436032).

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

380972876453568 is a wasteful number, since it uses less digits than its factorization.

380972876453568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63229 (or 63216 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 81.

The spelling of 380972876453568 in words is "three hundred eighty trillion, nine hundred seventy-two billion, eight hundred seventy-six million, four hundred fifty-three thousand, five hundred sixty-eight".