168620332608000 has 2560 divisors, whose sum is σ = 791414306242560. Its totient is φ = 34428395520000.

The previous prime is 168620332607939. The next prime is 168620332608017. The reversal of 168620332608000 is 806233026861.

It is a happy number.

168620332608000 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 2 + 0 + 3 + 32 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4874670705 + ... + 4874705295.

It is an arithmetic number, because the mean of its divisors is an integer number (309146213376).

Almost surely, 2^{168620332608000} is an apocalyptic number.

168620332608000 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 168620332608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395707153121280).

168620332608000 is an abundant number, since it is smaller than the sum of its proper divisors (622793973634560).

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

168620332608000 is a wasteful number, since it uses less digits than its factorization.

168620332608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34684 (or 34652 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 168620332608000 in words is "one hundred sixty-eight trillion, six hundred twenty billion, three hundred thirty-two million, six hundred eight thousand".