374561832960 has 924 divisors, whose sum is σ = 1567855627218. Its totient is φ = 85614133248.

The previous prime is 374561832941. The next prime is 374561832979. The reversal of 374561832960 is 69238165473.

374561832960 is a `hidden beast` number, since 3 + 7 + 456 + 183 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (374561832941) and next prime (374561832979).

It can be written as a sum of positive squares in only one way, i.e., 337105649664 + 37456183296 = 580608^2 + 193536^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 374561832897 and 374561832906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 53508833277 + ... + 53508833283.

It is a 1-persistent number, because it is pandigital, but 2⋅374561832960 = 749123665920 is not.

Almost surely, 2^374561832960 is an apocalyptic number.

374561832960 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 374561832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783927813609).

374561832960 is an abundant number, since it is smaller than the sum of its proper divisors (1193293794258).

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

374561832960 is an frugal number, since it uses more digits than its factorization.

374561832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 374561832960 in words is "three hundred seventy-four billion, five hundred sixty-one million, eight hundred thirty-two thousand, nine hundred sixty".