189640464000 has 512 divisors, whose sum is σ = 682632437760. Its totient is φ = 46293811200.

The previous prime is 189640463993. The next prime is 189640464017. The reversal of 189640464000 is 464046981.

It is a super-2 number, since 2×189640464000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79246804 + ... + 79249196.

It is an arithmetic number, because the mean of its divisors is an integer number (1333266480).

Almost surely, 2^189640464000 is an apocalyptic number.

189640464000 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 189640464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341316218880).

189640464000 is an abundant number, since it is smaller than the sum of its proper divisors (492991973760).

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

189640464000 is a wasteful number, since it uses less digits than its factorization.

189640464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 189640464000 in words is "one hundred eighty-nine billion, six hundred forty million, four hundred sixty-four thousand".