189672304640 has 832 divisors, whose sum is σ = 598873497600. Its totient is φ = 57224724480.

The previous prime is 189672304639. The next prime is 189672304667. The reversal of 189672304640 is 46403276981.

189672304640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 2830929887 + ... + 2830929953.

Almost surely, 2^189672304640 is an apocalyptic number.

189672304640 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 189672304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299436748800).

189672304640 is an abundant number, since it is smaller than the sum of its proper divisors (409201192960).

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

189672304640 is an equidigital number, since it uses as much as digits as its factorization.

189672304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 189672304640 in words is "one hundred eighty-nine billion, six hundred seventy-two million, three hundred four thousand, six hundred forty".