376965478656 has 216 divisors, whose sum is σ = 1182566931000. Its totient is φ = 114792726528.

The previous prime is 376965478649. The next prime is 376965478739. The reversal of 376965478656 is 656874569673.

376965478656 is a `hidden beast` number, since 3 + 7 + 6 + 96 + 5 + 478 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23844301056 + 353121177600 = 154416^2 + 594240^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2840470 + ... + 2970218.

Almost surely, 2^376965478656 is an apocalyptic number.

376965478656 is a gapful number since it is divisible by the number (36) 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 376965478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591283465500).

376965478656 is an abundant number, since it is smaller than the sum of its proper divisors (805601452344).

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

376965478656 is a wasteful number, since it uses less digits than its factorization.

376965478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129881 (or 129864 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 376965478656 in words is "three hundred seventy-six billion, nine hundred sixty-five million, four hundred seventy-eight thousand, six hundred fifty-six".