168424929024000 has 768 divisors, whose sum is σ = 613890279475200. Its totient is φ = 40658960384000.

The previous prime is 168424929023947. The next prime is 168424929024013. The reversal of 168424929024000 is 420929424861.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×168424929024000³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2019030292 + ... + 2019113708.

It is an arithmetic number, because the mean of its divisors is an integer number (799336301400).

Almost surely, 2^{168424929024000} is an apocalyptic number.

168424929024000 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 168424929024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306945139737600).

168424929024000 is an abundant number, since it is smaller than the sum of its proper divisors (445465350451200).

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

168424929024000 is a wasteful number, since it uses less digits than its factorization.

168424929024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83707 (or 83677 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 168424929024000 in words is "one hundred sixty-eight trillion, four hundred twenty-four billion, nine hundred twenty-nine million, twenty-four thousand".