190727792640 has 2304 divisors, whose sum is σ = 926882611200. Its totient is φ = 36097228800.

The previous prime is 190727792617. The next prime is 190727792683. The reversal of 190727792640 is 46297727091.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6152509425 + ... + 6152509455.

It is an arithmetic number, because the mean of its divisors is an integer number (402292800).

Almost surely, 2^190727792640 is an apocalyptic number.

190727792640 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 190727792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463441305600).

190727792640 is an abundant number, since it is smaller than the sum of its proper divisors (736154818560).

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

190727792640 is a wasteful number, since it uses less digits than its factorization.

190727792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 190727792640 in words is "one hundred ninety billion, seven hundred twenty-seven million, seven hundred ninety-two thousand, six hundred forty".