372506068800 has 504 divisors, whose sum is σ = 1376885183232. Its totient is φ = 95413248000.

The previous prime is 372506068789. The next prime is 372506068817. The reversal of 372506068800 is 8860605273.

372506068800 is a `hidden beast` number, since 3 + 7 + 2 + 506 + 0 + 68 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 61153755 + ... + 61159845.

Almost surely, 2^372506068800 is an apocalyptic number.

372506068800 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 372506068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688442591616).

372506068800 is an abundant number, since it is smaller than the sum of its proper divisors (1004379114432).

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

372506068800 is a wasteful number, since it uses less digits than its factorization.

372506068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 372506068800 in words is "three hundred seventy-two billion, five hundred six million, sixty-eight thousand, eight hundred".