376749172800 has 2016 divisors, whose sum is σ = 1832492712960. Its totient is φ = 70878412800.

The previous prime is 376749172781. The next prime is 376749172801. The reversal of 376749172800 is 8271947673.

376749172800 is a `hidden beast` number, since 3 + 7 + 6 + 7 + 491 + 72 + 80 + 0 = 666.

376749172800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (376749172801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 850449379 + ... + 850449821.

It is an arithmetic number, because the mean of its divisors is an integer number (908974560).

Almost surely, 2^376749172800 is an apocalyptic number.

376749172800 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 376749172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916246356480).

376749172800 is an abundant number, since it is smaller than the sum of its proper divisors (1455743540160).

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

376749172800 is a wasteful number, since it uses less digits than its factorization.

376749172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 376749172800 in words is "three hundred seventy-six billion, seven hundred forty-nine million, one hundred seventy-two thousand, eight hundred".