380905477680 has 640 divisors, whose sum is σ = 1571199436800. Its totient is φ = 74076291072.

The previous prime is 380905477679. The next prime is 380905477723. The reversal of 380905477680 is 86774509083.

380905477680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 380905477680.

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, 15341116 + ... + 15365924.

It is an arithmetic number, because the mean of its divisors is an integer number (2454999120).

Almost surely, 2^380905477680 is an apocalyptic number.

380905477680 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 380905477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785599718400).

380905477680 is an abundant number, since it is smaller than the sum of its proper divisors (1190293959120).

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

380905477680 is a wasteful number, since it uses less digits than its factorization.

380905477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24901 (or 24895 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 380905477680 in words is "three hundred eighty billion, nine hundred five million, four hundred seventy-seven thousand, six hundred eighty".