168560663040 has 2560 divisors, whose sum is σ = 834940846080. Its totient is φ = 31531991040.

The previous prime is 168560662987. The next prime is 168560663071. The reversal of 168560663040 is 40366065861.

168560663040 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 6 + 0 + 6 + 630 + 4 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7328724469 + ... + 7328724491.

It is an arithmetic number, because the mean of its divisors is an integer number (326148768).

Almost surely, 2^168560663040 is an apocalyptic number.

168560663040 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 168560663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417470423040).

168560663040 is an abundant number, since it is smaller than the sum of its proper divisors (666380183040).

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

168560663040 is an equidigital number, since it uses as much as digits as its factorization.

168560663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 168560663040 in words is "one hundred sixty-eight billion, five hundred sixty million, six hundred sixty-three thousand, forty".