376805560320 has 1248 divisors, whose sum is σ = 1622903143680. Its totient is φ = 78894858240.

The previous prime is 376805560231. The next prime is 376805560321. The reversal of 376805560320 is 23065508673.

376805560320 is a `hidden beast` number, since 3 + 7 + 6 + 80 + 5 + 560 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (376805560321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899297071 + ... + 899297489.

It is an arithmetic number, because the mean of its divisors is an integer number (1300403160).

Almost surely, 2^376805560320 is an apocalyptic number.

376805560320 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 376805560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811451571840).

376805560320 is an abundant number, since it is smaller than the sum of its proper divisors (1246097583360).

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

376805560320 is a wasteful number, since it uses less digits than its factorization.

376805560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 376805560320 in words is "three hundred seventy-six billion, eight hundred five million, five hundred sixty thousand, three hundred twenty".