380732267520 has 1056 divisors, whose sum is σ = 1517465664000. Its totient is φ = 87406018560.

The previous prime is 380732267453. The next prime is 380732267557. The reversal of 380732267520 is 25762237083.

380732267520 is a `hidden beast` number, since 38 + 0 + 7 + 32 + 2 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 867271461 + ... + 867271899.

It is an arithmetic number, because the mean of its divisors is an integer number (1436994000).

Almost surely, 2^380732267520 is an apocalyptic number.

380732267520 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 380732267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758732832000).

380732267520 is an abundant number, since it is smaller than the sum of its proper divisors (1136733396480).

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

380732267520 is a wasteful number, since it uses less digits than its factorization.

380732267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 380732267520 in words is "three hundred eighty billion, seven hundred thirty-two million, two hundred sixty-seven thousand, five hundred twenty".