189775939184640 has 960 divisors, whose sum is σ = 692819145018000. Its totient is φ = 49672759541760.

The previous prime is 189775939184639. The next prime is 189775939184681. The reversal of 189775939184640 is 46481939577981.

189775939184640 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 7 + 593 + 9 + 18 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104112473416704 + 85663465767936 = 10203552^2 + 9255456^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 189775939184640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25753278876 + ... + 25753286244.

Almost surely, 2^{189775939184640} is an apocalyptic number.

189775939184640 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 189775939184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346409572509000).

189775939184640 is an abundant number, since it is smaller than the sum of its proper divisors (503043205833360).

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

189775939184640 is an equidigital number, since it uses as much as digits as its factorization.

189775939184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 189775939184640 in words is "one hundred eighty-nine trillion, seven hundred seventy-five billion, nine hundred thirty-nine million, one hundred eighty-four thousand, six hundred forty".