376899561561600 has 11520 divisors, whose sum is σ = 1994108568883200. Its totient is φ = 67828816281600.

The previous prime is 376899561561527. The next prime is 376899561561613. The reversal of 376899561561600 is 6165165998673.

376899561561600 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 9 + 9 + 5 + 6 + 1 + 5 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4234826534356 + ... + 4234826534444.

It is an arithmetic number, because the mean of its divisors is an integer number (173099702160).

Almost surely, 2^{376899561561600} is an apocalyptic number.

376899561561600 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 376899561561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997054284441600).

376899561561600 is an abundant number, since it is smaller than the sum of its proper divisors (1617209007321600).

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

376899561561600 is a wasteful number, since it uses less digits than its factorization.

376899561561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 376899561561600 in words is "three hundred seventy-six trillion, eight hundred ninety-nine billion, five hundred sixty-one million, five hundred sixty-one thousand, six hundred".