376754872320 has 280 divisors, whose sum is σ = 1350665438364. Its totient is φ = 100467081216.

The previous prime is 376754872289. The next prime is 376754872369. The reversal of 376754872320 is 23278457673.

376754872320 is a `hidden beast` number, since 3 + 7 + 6 + 7 + 548 + 72 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 351298031616 + 25456840704 = 592704^2 + 159552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3260982 + ... + 3374538.

Almost surely, 2^376754872320 is an apocalyptic number.

376754872320 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 376754872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675332719182).

376754872320 is an abundant number, since it is smaller than the sum of its proper divisors (973910566044).

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

376754872320 is an equidigital number, since it uses as much as digits as its factorization.

376754872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113600 (or 113567 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 376754872320 in words is "three hundred seventy-six billion, seven hundred fifty-four million, eight hundred seventy-two thousand, three hundred twenty".