268827833664 has 280 divisors, whose sum is σ = 860056322048. Its totient is φ = 82536330240.

The previous prime is 268827833653. The next prime is 268827833683. The reversal of 268827833664 is 466338728862.

It is a happy number.

268827833664 is a `hidden beast` number, since 26 + 8 + 8 + 278 + 336 + 6 + 4 = 666.

268827833664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32815809 + ... + 32823999.

Almost surely, 2^268827833664 is an apocalyptic number.

268827833664 is a gapful number since it is divisible by the number (24) 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 268827833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430028161024).

268827833664 is an abundant number, since it is smaller than the sum of its proper divisors (591228488384).

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

268827833664 is a wasteful number, since it uses less digits than its factorization.

268827833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8696 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 268827833664 in words is "two hundred sixty-eight billion, eight hundred twenty-seven million, eight hundred thirty-three thousand, six hundred sixty-four".