376903728267264 has 1344 divisors, whose sum is σ = 1307833257931200. Its totient is φ = 108186261258240.

The previous prime is 376903728267263. The next prime is 376903728267271. The reversal of 376903728267264 is 462762827309673.

It is a happy number.

376903728267264 is a `hidden beast` number, since 3 + 7 + 69 + 0 + 372 + 82 + 67 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 376903728267192 and 376903728267201.

It is not an unprimeable number, because it can be changed into a prime (376903728267263) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 54918214297 + ... + 54918221159.

It is an arithmetic number, because the mean of its divisors is an integer number (973090221675).

Almost surely, 2^{376903728267264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376903728267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653916628965600).

376903728267264 is an abundant number, since it is smaller than the sum of its proper divisors (930929529663936).

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

376903728267264 is an frugal number, since it uses more digits than its factorization.

376903728267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 376903728267264 in words is "three hundred seventy-six trillion, nine hundred three billion, seven hundred twenty-eight million, two hundred sixty-seven thousand, two hundred sixty-four".