168681642393600 has 2112 divisors, whose sum is σ = 733956048806400. Its totient is φ = 37162875617280.

The previous prime is 168681642393497. The next prime is 168681642393601. The reversal of 168681642393600 is 6393246186861.

168681642393600 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 8 + 16 + 4 + 2 + 3 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168681642393601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287362252507 + ... + 287362253093.

Almost surely, 2^{168681642393600} is an apocalyptic number.

168681642393600 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 168681642393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366978024403200).

168681642393600 is an abundant number, since it is smaller than the sum of its proper divisors (565274406412800).

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

168681642393600 is an frugal number, since it uses more digits than its factorization.

168681642393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 168681642393600 in words is "one hundred sixty-eight trillion, six hundred eighty-one billion, six hundred forty-two million, three hundred ninety-three thousand, six hundred".