268163751680 has 144 divisors (see below), whose sum is σ = 724894380000. Its totient is φ = 94151393280.

The previous prime is 268163751643. The next prime is 268163751703. The reversal of 268163751680 is 86157361862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79946 + ... + 736694.

It is an arithmetic number, because the mean of its divisors is an integer number (5033988750).

Almost surely, 2^268163751680 is an apocalyptic number.

268163751680 is a gapful number since it is divisible by the number (20) 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 268163751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362447190000).

268163751680 is an abundant number, since it is smaller than the sum of its proper divisors (456730628320).

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

268163751680 is a wasteful number, since it uses less digits than its factorization.

268163751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656810 (or 656796 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 268163751680 in words is "two hundred sixty-eight billion, one hundred sixty-three million, seven hundred fifty-one thousand, six hundred eighty".