190657813680 has 240 divisors, whose sum is σ = 668555798976. Its totient is φ = 48600668160.

The previous prime is 190657813679. The next prime is 190657813691. The reversal of 190657813680 is 86318756091.

190657813680 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 578 + 1 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37969570 + ... + 37974590.

Almost surely, 2^190657813680 is an apocalyptic number.

190657813680 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 190657813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334277899488).

190657813680 is an abundant number, since it is smaller than the sum of its proper divisors (477897985296).

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

190657813680 is a wasteful number, since it uses less digits than its factorization.

190657813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 190657813680 in words is "one hundred ninety billion, six hundred fifty-seven million, eight hundred thirteen thousand, six hundred eighty".