380787632640 has 240 divisors, whose sum is σ = 1321747713000. Its totient is φ = 101314461696.

The previous prime is 380787632639. The next prime is 380787632683. The reversal of 380787632640 is 46236787083.

It can be written as a sum of positive squares in 4 ways, for example, as 301480061184 + 79307571456 = 549072^2 + 281616^2 .

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 23 ways as a sum of consecutive naturals, for example, 10326556 + ... + 10363364.

Almost surely, 2^380787632640 is an apocalyptic number.

380787632640 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 380787632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660873856500).

380787632640 is an abundant number, since it is smaller than the sum of its proper divisors (940960080360).

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

380787632640 is a wasteful number, since it uses less digits than its factorization.

380787632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37287 (or 37268 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 380787632640 in words is "three hundred eighty billion, seven hundred eighty-seven million, six hundred thirty-two thousand, six hundred forty".