168966624960 has 336 divisors, whose sum is σ = 664740148800. Its totient is φ = 38589530112.

The previous prime is 168966624881. The next prime is 168966624979. The reversal of 168966624960 is 69426669861.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32434836 + ... + 32440044.

It is an arithmetic number, because the mean of its divisors is an integer number (1978393300).

Almost surely, 2^168966624960 is an apocalyptic number.

168966624960 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 168966624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332370074400).

168966624960 is an abundant number, since it is smaller than the sum of its proper divisors (495773523840).

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

168966624960 is a wasteful number, since it uses less digits than its factorization.

168966624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 168966624960 in words is "one hundred sixty-eight billion, nine hundred sixty-six million, six hundred twenty-four thousand, nine hundred sixty".