376402672800 has 1296 divisors, whose sum is σ = 1758002605632. Its totient is φ = 74795212800.

The previous prime is 376402672787. The next prime is 376402672831. The reversal of 376402672800 is 8276204673.

376402672800 is a `hidden beast` number, since 3 + 76 + 40 + 267 + 280 + 0 = 666.

376402672800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89256292 + ... + 89260508.

It is an arithmetic number, because the mean of its divisors is an integer number (1356483492).

Almost surely, 2^376402672800 is an apocalyptic number.

376402672800 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 376402672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879001302816).

376402672800 is an abundant number, since it is smaller than the sum of its proper divisors (1381599932832).

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

376402672800 is a wasteful number, since it uses less digits than its factorization.

376402672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 376402672800 in words is "three hundred seventy-six billion, four hundred two million, six hundred seventy-two thousand, eight hundred".