376231806720000 has 5760 divisors, whose sum is σ = 1834614831329280. Its totient is φ = 74669506560000.

The previous prime is 376231806719987. The next prime is 376231806720053. The reversal of 376231806720000 is 27608132673.

376231806720000 is a `hidden beast` number, since 3 + 7 + 623 + 18 + 0 + 6 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-3 number, since 3×376231806720000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 550851839659 + ... + 550851840341.

It is an arithmetic number, because the mean of its divisors is an integer number (318509519328).

Almost surely, 2^{376231806720000} is an apocalyptic number.

376231806720000 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 376231806720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917307415664640).

376231806720000 is an abundant number, since it is smaller than the sum of its proper divisors (1458383024609280).

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

376231806720000 is an equidigital number, since it uses as much as digits as its factorization.

376231806720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 376231806720000 in words is "three hundred seventy-six trillion, two hundred thirty-one billion, eight hundred six million, seven hundred twenty thousand".