380417593680 has 120 divisors (see below), whose sum is σ = 1318781068800. Its totient is φ = 98172276480.

The previous prime is 380417593651. The next prime is 380417593747. The reversal of 380417593680 is 86395714083.

380417593680 is a `hidden beast` number, since 3 + 8 + 0 + 41 + 7 + 593 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8499580 + ... + 8544219.

It is an arithmetic number, because the mean of its divisors is an integer number (10989842240).

Almost surely, 2^380417593680 is an apocalyptic number.

380417593680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380417593680 is an abundant number, since it is smaller than the sum of its proper divisors (938363475120).

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

380417593680 is a wasteful number, since it uses less digits than its factorization.

380417593680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17043849 (or 17043840 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 380417593680 in words is "three hundred eighty billion, four hundred seventeen million, five hundred ninety-three thousand, six hundred eighty".