189683758880640 has 384 divisors, whose sum is σ = 689526714333600. Its totient is φ = 47916548407296.

The previous prime is 189683758880611. The next prime is 189683758880647. The reversal of 189683758880640 is 46088857386981.

189683758880640 is a `hidden beast` number, since 1 + 8 + 96 + 8 + 375 + 88 + 80 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 189683758880640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189683758880647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671858154 + ... + 1671971606.

Almost surely, 2^{189683758880640} is an apocalyptic number.

189683758880640 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 189683758880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344763357166800).

189683758880640 is an abundant number, since it is smaller than the sum of its proper divisors (499842955452960).

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

189683758880640 is a wasteful number, since it uses less digits than its factorization.

189683758880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128774 (or 128759 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 189683758880640 in words is "one hundred eighty-nine trillion, six hundred eighty-three billion, seven hundred fifty-eight million, eight hundred eighty thousand, six hundred forty".