376414879680 has 840 divisors, whose sum is σ = 1572449788800. Its totient is φ = 85216997376.

The previous prime is 376414879667. The next prime is 376414879681. The reversal of 376414879680 is 86978414673.

376414879680 is a `hidden beast` number, since 3 + 7 + 64 + 1 + 487 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376414879681) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 138437361 + ... + 138440079.

Almost surely, 2^376414879680 is an apocalyptic number.

376414879680 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 376414879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786224894400).

376414879680 is an abundant number, since it is smaller than the sum of its proper divisors (1196034909120).

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

376414879680 is a wasteful number, since it uses less digits than its factorization.

376414879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 376414879680 in words is "three hundred seventy-six billion, four hundred fourteen million, eight hundred seventy-nine thousand, six hundred eighty".