376682425200 has 720 divisors, whose sum is σ = 1424801664000. Its totient is φ = 91840573440.

The previous prime is 376682425169. The next prime is 376682425201. The reversal of 376682425200 is 2524286673.

376682425200 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 82 + 42 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376682425201) 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 143 ways as a sum of consecutive naturals, for example, 261766081 + ... + 261767519.

It is an arithmetic number, because the mean of its divisors is an integer number (1978891200).

Almost surely, 2^376682425200 is an apocalyptic number.

376682425200 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 376682425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832000).

376682425200 is an abundant number, since it is smaller than the sum of its proper divisors (1048119238800).

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

376682425200 is a wasteful number, since it uses less digits than its factorization.

376682425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 376682425200 in words is "three hundred seventy-six billion, six hundred eighty-two million, four hundred twenty-five thousand, two hundred".