189679656960 has 1344 divisors, whose sum is σ = 772858195200. Its totient is φ = 44335890432.

The previous prime is 189679656937. The next prime is 189679657021. The reversal of 189679656960 is 69656976981.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3214909411 + ... + 3214909469.

It is an arithmetic number, because the mean of its divisors is an integer number (575043300).

Almost surely, 2^189679656960 is an apocalyptic number.

189679656960 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 189679656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386429097600).

189679656960 is an abundant number, since it is smaller than the sum of its proper divisors (583178538240).

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

189679656960 is an equidigital number, since it uses as much as digits as its factorization.

189679656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 189679656960 in words is "one hundred eighty-nine billion, six hundred seventy-nine million, six hundred fifty-six thousand, nine hundred sixty".