189168964320 has 768 divisors, whose sum is σ = 740344872960. Its totient is φ = 39639269376.

The previous prime is 189168964291. The next prime is 189168964321. The reversal of 189168964320 is 23469861981.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189168964321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376081189 + ... + 376081691.

It is an arithmetic number, because the mean of its divisors is an integer number (963990720).

Almost surely, 2^189168964320 is an apocalyptic number.

189168964320 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 189168964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370172436480).

189168964320 is an abundant number, since it is smaller than the sum of its proper divisors (551175908640).

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

189168964320 is a wasteful number, since it uses less digits than its factorization.

189168964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 189168964320 in words is "one hundred eighty-nine billion, one hundred sixty-eight million, nine hundred sixty-four thousand, three hundred twenty".