268530432768 has 1080 divisors, whose sum is σ = 945940102800. Its totient is φ = 75461787648.

The previous prime is 268530432727. The next prime is 268530432773. The reversal of 268530432768 is 867234035862.

268530432768 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 304 + 327 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2463581898 + ... + 2463582006.

Almost surely, 2^268530432768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268530432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472970051400).

268530432768 is an abundant number, since it is smaller than the sum of its proper divisors (677409670032).

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

268530432768 is a wasteful number, since it uses less digits than its factorization.

268530432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 268530432768 in words is "two hundred sixty-eight billion, five hundred thirty million, four hundred thirty-two thousand, seven hundred sixty-eight".