189668774400 has 240 divisors, whose sum is σ = 716068377024. Its totient is φ = 43352801280.

The previous prime is 189668774389. The next prime is 189668774401. The reversal of 189668774400 is 4477866981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (189668774401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84007 + ... + 621606.

Almost surely, 2^189668774400 is an apocalyptic number.

189668774400 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 189668774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358034188512).

189668774400 is an abundant number, since it is smaller than the sum of its proper divisors (526399602624).

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

189668774400 is an equidigital number, since it uses as much as digits as its factorization.

189668774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705651 (or 705630 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 189668774400 in words is "one hundred eighty-nine billion, six hundred sixty-eight million, seven hundred seventy-four thousand, four hundred".