168004326400 has 198 divisors, whose sum is σ = 430377430830. Its totient is φ = 65024409600.

The previous prime is 168004326389. The next prime is 168004326401. The reversal of 168004326400 is 4623400861.

It can be written as a sum of positive squares in 3 ways, for example, as 12124652544 + 155879673856 = 110112^2 + 394816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168004326401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24598186 + ... + 24605014.

Almost surely, 2^168004326400 is an apocalyptic number.

168004326400 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 168004326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215188715415).

168004326400 is an abundant number, since it is smaller than the sum of its proper divisors (262373104430).

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

168004326400 is an equidigital number, since it uses as much as digits as its factorization.

168004326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 168004326400 in words is "one hundred sixty-eight billion, four million, three hundred twenty-six thousand, four hundred".