190727405568 has 600 divisors, whose sum is σ = 666087576000. Its totient is φ = 54363488256.

The previous prime is 190727405563. The next prime is 190727405579. The reversal of 190727405568 is 865504727091.

190727405568 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 2 + 74 + 0 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190727405563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455196463 + ... + 455196881.

It is an arithmetic number, because the mean of its divisors is an integer number (1110145960).

Almost surely, 2^190727405568 is an apocalyptic number.

190727405568 is a gapful number since it is divisible by the number (18) 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 190727405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333043788000).

190727405568 is an abundant number, since it is smaller than the sum of its proper divisors (475360170432).

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

190727405568 is an frugal number, since it uses more digits than its factorization.

190727405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 190727405568 in words is "one hundred ninety billion, seven hundred twenty-seven million, four hundred five thousand, five hundred sixty-eight".