168802719187968 has 264 divisors, whose sum is σ = 516758774823200. Its totient is φ = 52922616938496.

The previous prime is 168802719187961. The next prime is 168802719188029. The reversal of 168802719187968 is 869781917208861.

168802719187968 is a `hidden beast` number, since 1 + 6 + 8 + 80 + 271 + 9 + 187 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (168802719187961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20871780 + ... + 27807132.

Almost surely, 2^{168802719187968} is an apocalyptic number.

168802719187968 is a gapful number since it is divisible by the number (18) 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 168802719187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258379387411600).

168802719187968 is an abundant number, since it is smaller than the sum of its proper divisors (347956055635232).

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

168802719187968 is a wasteful number, since it uses less digits than its factorization.

168802719187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935537 (or 6935516 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 81.

The spelling of 168802719187968 in words is "one hundred sixty-eight trillion, eight hundred two billion, seven hundred nineteen million, one hundred eighty-seven thousand, nine hundred sixty-eight".