372775385382400 has 480 divisors, whose sum is σ = 1240051699611648. Its totient is φ = 107252055244800.

The previous prime is 372775385382263. The next prime is 372775385382409. The reversal of 372775385382400 is 4283583577273.

It is a happy number.

It is a super-2 number, since 2×372775385382400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372775385382409) 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 47 ways as a sum of consecutive naturals, for example, 1734192 + ... + 27359791.

Almost surely, 2^{372775385382400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372775385382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620025849805824).

372775385382400 is an abundant number, since it is smaller than the sum of its proper divisors (867276314229248).

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

372775385382400 is a wasteful number, since it uses less digits than its factorization.

372775385382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094042 (or 29094021 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 64.

The spelling of 372775385382400 in words is "three hundred seventy-two trillion, seven hundred seventy-five billion, three hundred eighty-five million, three hundred eighty-two thousand, four hundred".