168684768000 has 1008 divisors, whose sum is σ = 720735951936. Its totient is φ = 38519193600.

The previous prime is 168684767947. The next prime is 168684768029. The reversal of 168684768000 is 867486861.

168684768000 is a `hidden beast` number, since 16 + 86 + 8 + 476 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163295484 + ... + 163296516.

Almost surely, 2^168684768000 is an apocalyptic number.

168684768000 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 168684768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360367975968).

168684768000 is an abundant number, since it is smaller than the sum of its proper divisors (552051183936).

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

168684768000 is an frugal number, since it uses more digits than its factorization.

168684768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 168684768000 in words is "one hundred sixty-eight billion, six hundred eighty-four million, seven hundred sixty-eight thousand".