376680806400 has 576 divisors, whose sum is σ = 1318115635200. Its totient is φ = 94631362560.

The previous prime is 376680806377. The next prime is 376680806443. The reversal of 376680806400 is 4608086673.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 376680806400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983500609 + ... + 983500991.

It is an arithmetic number, because the mean of its divisors is an integer number (2288395200).

Almost surely, 2^376680806400 is an apocalyptic number.

376680806400 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 376680806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659057817600).

376680806400 is an abundant number, since it is smaller than the sum of its proper divisors (941434828800).

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

376680806400 is a wasteful number, since it uses less digits than its factorization.

376680806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 376680806400 in words is "three hundred seventy-six billion, six hundred eighty million, eight hundred six thousand, four hundred".