189084672000 has 896 divisors, whose sum is σ = 799846894080. Its totient is φ = 43175116800.

The previous prime is 189084671927. The next prime is 189084672041. The reversal of 189084672000 is 276480981.

189084672000 is a `hidden beast` number, since 189 + 0 + 8 + 467 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 193535512 + ... + 193536488.

Almost surely, 2^189084672000 is an apocalyptic number.

189084672000 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 189084672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399923447040).

189084672000 is an abundant number, since it is smaller than the sum of its proper divisors (610762222080).

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

189084672000 is an frugal number, since it uses more digits than its factorization.

189084672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 189084672000 in words is "one hundred eighty-nine billion, eighty-four million, six hundred seventy-two thousand".