376356864000 has 1152 divisors, whose sum is σ = 1465651998720. Its totient is φ = 84934656000.

The previous prime is 376356863963. The next prime is 376356864049. The reversal of 376356864000 is 468653673.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12140543985 + ... + 12140544015.

It is an arithmetic number, because the mean of its divisors is an integer number (1272267360).

Almost surely, 2^376356864000 is an apocalyptic number.

376356864000 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 376356864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732825999360).

376356864000 is an abundant number, since it is smaller than the sum of its proper divisors (1089295134720).

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

376356864000 is an equidigital number, since it uses as much as digits as its factorization.

376356864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 376356864000 in words is "three hundred seventy-six billion, three hundred fifty-six million, eight hundred sixty-four thousand".