268775224704 has 256 divisors, whose sum is σ = 913731993600. Its totient is φ = 76187381760.

The previous prime is 268775224693. The next prime is 268775224801. The reversal of 268775224704 is 407422577862.

268775224704 is a `hidden beast` number, since 2 + 6 + 8 + 77 + 522 + 47 + 0 + 4 = 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 31 ways as a sum of consecutive naturals, for example, 3028644 + ... + 3116124.

It is an arithmetic number, because the mean of its divisors is an integer number (3569265600).

Almost surely, 2^268775224704 is an apocalyptic number.

268775224704 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 268775224704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456865996800).

268775224704 is an abundant number, since it is smaller than the sum of its proper divisors (644956768896).

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

268775224704 is a wasteful number, since it uses less digits than its factorization.

268775224704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87638 (or 87620 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 268775224704 in words is "two hundred sixty-eight billion, seven hundred seventy-five million, two hundred twenty-four thousand, seven hundred four".