190327568400 has 480 divisors, whose sum is σ = 702686275200. Its totient is φ = 48871065600.

The previous prime is 190327568363. The next prime is 190327568447. The reversal of 190327568400 is 4865723091.

190327568400 is a `hidden beast` number, since 1 + 90 + 32 + 75 + 68 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174451855 + ... + 174452945.

It is an arithmetic number, because the mean of its divisors is an integer number (1463929740).

It is a 1-persistent number, because it is pandigital, but 2⋅190327568400 = 380655136800 is not.

Almost surely, 2^190327568400 is an apocalyptic number.

190327568400 is a gapful number since it is divisible by the number (10) 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 190327568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351343137600).

190327568400 is an abundant number, since it is smaller than the sum of its proper divisors (512358706800).

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

190327568400 is a wasteful number, since it uses less digits than its factorization.

190327568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 190327568400 in words is "one hundred ninety billion, three hundred twenty-seven million, five hundred sixty-eight thousand, four hundred".