376264399680 has 672 divisors, whose sum is σ = 1473982368768. Its totient is φ = 87434035200.

The previous prime is 376264399669. The next prime is 376264399699. The reversal of 376264399680 is 86993462673.

376264399680 is a `hidden beast` number, since 37 + 6 + 2 + 6 + 439 + 96 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47582287 + ... + 47590193.

It is an arithmetic number, because the mean of its divisors is an integer number (2193426144).

Almost surely, 2^376264399680 is an apocalyptic number.

376264399680 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 376264399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736991184384).

376264399680 is an abundant number, since it is smaller than the sum of its proper divisors (1097717969088).

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

376264399680 is a wasteful number, since it uses less digits than its factorization.

376264399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 376264399680 in words is "three hundred seventy-six billion, two hundred sixty-four million, three hundred ninety-nine thousand, six hundred eighty".