268723646327862 has 144 divisors (see below), whose sum is σ = 646386521888016. Its totient is φ = 80616015216000.

The previous prime is 268723646327833. The next prime is 268723646327879.

268723646327862 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 2 + 36 + 463 + 2 + 78 + 62 = 666.

268723646327862 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2082467208 + ... + 2082596244.

It is an arithmetic number, because the mean of its divisors is an integer number (4488795290889).

Almost surely, 2^{268723646327862} is an apocalyptic number.

268723646327862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268723646327862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323193260944008).

268723646327862 is an abundant number, since it is smaller than the sum of its proper divisors (377662875560154).

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

268723646327862 is a wasteful number, since it uses less digits than its factorization.

268723646327862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138635 (or 138621 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 72.

The spelling of 268723646327862 in words is "two hundred sixty-eight trillion, seven hundred twenty-three billion, six hundred forty-six million, three hundred twenty-seven thousand, eight hundred sixty-two".