168384001680 has 120 divisors (see below), whose sum is σ = 573236217528. Its totient is φ = 44287285248.

The previous prime is 168384001657. The next prime is 168384001691. The reversal of 168384001680 is 86100483861.

It is a happy number.

168384001680 is a `hidden beast` number, since 1 + 6 + 83 + 8 + 400 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1537894656 + 166846107024 = 39216^2 + 408468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549267 + ... + 1654386.

Almost surely, 2^168384001680 is an apocalyptic number.

168384001680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168384001680 is an abundant number, since it is smaller than the sum of its proper divisors (404852215848).

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

168384001680 is a wasteful number, since it uses less digits than its factorization.

168384001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203745 (or 3203736 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 168384001680 in words is "one hundred sixty-eight billion, three hundred eighty-four million, one thousand, six hundred eighty".