372396560400 has 600 divisors, whose sum is σ = 1399100433984. Its totient is φ = 94682649600.

The previous prime is 372396560399. The next prime is 372396560407. The reversal of 372396560400 is 4065693273.

372396560400 is a `hidden beast` number, since 3 + 7 + 2 + 39 + 6 + 5 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (372396560407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 313728607 + ... + 313729793.

Almost surely, 2^372396560400 is an apocalyptic number.

372396560400 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 372396560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699550216992).

372396560400 is an abundant number, since it is smaller than the sum of its proper divisors (1026703873584).

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

372396560400 is a wasteful number, since it uses less digits than its factorization.

372396560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 372396560400 in words is "three hundred seventy-two billion, three hundred ninety-six million, five hundred sixty thousand, four hundred".