189968326974360 has 1536 divisors, whose sum is σ = 751924309893120. Its totient is φ = 41050821427200.

The previous prime is 189968326974311. The next prime is 189968326974367. The reversal of 189968326974360 is 63479623869981.

189968326974360 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 68 + 32 + 6 + 97 + 436 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 189968326974360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189968326974367) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48998792742 + ... + 48998796618.

It is an arithmetic number, because the mean of its divisors is an integer number (489534055920).

Almost surely, 2^{189968326974360} is an apocalyptic number.

189968326974360 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 189968326974360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375962154946560).

189968326974360 is an abundant number, since it is smaller than the sum of its proper divisors (561955982918760).

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

189968326974360 is a wasteful number, since it uses less digits than its factorization.

189968326974360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 189968326974360 in words is "one hundred eighty-nine trillion, nine hundred sixty-eight billion, three hundred twenty-six million, nine hundred seventy-four thousand, three hundred sixty".