372870086400 has 1512 divisors, whose sum is σ = 1620610336800. Its totient is φ = 84861665280.

The previous prime is 372870086389. The next prime is 372870086521. The reversal of 372870086400 is 4680078273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

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 167 ways as a sum of consecutive naturals, for example, 1600300684 + ... + 1600300916.

Almost surely, 2^372870086400 is an apocalyptic number.

372870086400 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 372870086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810305168400).

372870086400 is an abundant number, since it is smaller than the sum of its proper divisors (1247740250400).

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

372870086400 is an frugal number, since it uses more digits than its factorization.

372870086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 372870086400 in words is "three hundred seventy-two billion, eight hundred seventy million, eighty-six thousand, four hundred".