168668305920 has 960 divisors, whose sum is σ = 637024227840. Its totient is φ = 41150054400.

The previous prime is 168668305909. The next prime is 168668305933. The reversal of 168668305920 is 29503866861.

It is a happy number.

168668305920 is a `hidden beast` number, since 16 + 8 + 6 + 6 + 8 + 30 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287544255 + ... + 1287544385.

It is an arithmetic number, because the mean of its divisors is an integer number (663566904).

Almost surely, 2^168668305920 is an apocalyptic number.

168668305920 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 168668305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318512113920).

168668305920 is an abundant number, since it is smaller than the sum of its proper divisors (468355921920).

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

168668305920 is a wasteful number, since it uses less digits than its factorization.

168668305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 168668305920 in words is "one hundred sixty-eight billion, six hundred sixty-eight million, three hundred five thousand, nine hundred twenty".