168387880320 has 768 divisors, whose sum is σ = 662102138880. Its totient is φ = 40556298240.

The previous prime is 168387880289. The next prime is 168387880333. The reversal of 168387880320 is 23088783861.

168387880320 is a `hidden beast` number, since 168 + 3 + 87 + 8 + 80 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439654849 + ... + 439655231.

It is an arithmetic number, because the mean of its divisors is an integer number (862112160).

Almost surely, 2^168387880320 is an apocalyptic number.

168387880320 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 168387880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331051069440).

168387880320 is an abundant number, since it is smaller than the sum of its proper divisors (493714258560).

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

168387880320 is a wasteful number, since it uses less digits than its factorization.

168387880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 661 counting only the distinct ones).

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

The spelling of 168387880320 in words is "one hundred sixty-eight billion, three hundred eighty-seven million, eight hundred eighty thousand, three hundred twenty".