380105692692480 has 240 divisors, whose sum is σ = 1351445671107840. Its totient is φ = 101361517461504.

The previous prime is 380105692692437. The next prime is 380105692692503. The reversal of 380105692692480 is 84296296501083.

380105692692480 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 0 + 5 + 6 + 92 + 69 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83713384 + ... + 88137063.

It is an arithmetic number, because the mean of its divisors is an integer number (5631023629616).

Almost surely, 2^{380105692692480} is an apocalyptic number.

380105692692480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380105692692480 is an abundant number, since it is smaller than the sum of its proper divisors (971339978415360).

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

380105692692480 is an equidigital number, since it uses as much as digits as its factorization.

380105692692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171850489 (or 171850457 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 380105692692480 in words is "three hundred eighty trillion, one hundred five billion, six hundred ninety-two million, six hundred ninety-two thousand, four hundred eighty".