168733393920 has 1760 divisors, whose sum is σ = 790949795328. Its totient is φ = 33379319808.

The previous prime is 168733393861. The next prime is 168733393921. The reversal of 168733393920 is 29393337861.

168733393920 is a `hidden beast` number, since 168 + 7 + 3 + 3 + 393 + 92 + 0 = 666.

168733393920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (168733393921) 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 159 ways as a sum of consecutive naturals, for example, 641571709 + ... + 641571971.

Almost surely, 2^168733393920 is an apocalyptic number.

168733393920 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 168733393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395474897664).

168733393920 is an abundant number, since it is smaller than the sum of its proper divisors (622216401408).

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

168733393920 is a wasteful number, since it uses less digits than its factorization.

168733393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 168733393920 in words is "one hundred sixty-eight billion, seven hundred thirty-three million, three hundred ninety-three thousand, nine hundred twenty".