168195680640 has 768 divisors, whose sum is σ = 663786264960. Its totient is φ = 38928384000.

The previous prime is 168195680623. The next prime is 168195680687. The reversal of 168195680640 is 46086591861.

168195680640 is a `hidden beast` number, since 1 + 6 + 8 + 19 + 568 + 0 + 64 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 105055840 + ... + 105057440.

Almost surely, 2^168195680640 is an apocalyptic number.

168195680640 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 168195680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331893132480).

168195680640 is an abundant number, since it is smaller than the sum of its proper divisors (495590584320).

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

168195680640 is a wasteful number, since it uses less digits than its factorization.

168195680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 168195680640 in words is "one hundred sixty-eight billion, one hundred ninety-five million, six hundred eighty thousand, six hundred forty".