268579319008 has 576 divisors, whose sum is σ = 794023534080. Its totient is φ = 87497625600.

The previous prime is 268579318991. The next prime is 268579319033. The reversal of 268579319008 is 800913975862.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 97984518 + ... + 97987258.

It is an arithmetic number, because the mean of its divisors is an integer number (1378513080).

Almost surely, 2^268579319008 is an apocalyptic number.

268579319008 is a gapful number since it is divisible by the number (28) 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 268579319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397011767040).

268579319008 is an abundant number, since it is smaller than the sum of its proper divisors (525444215072).

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

268579319008 is a wasteful number, since it uses less digits than its factorization.

268579319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 268579319008 in words is "two hundred sixty-eight billion, five hundred seventy-nine million, three hundred nineteen thousand, eight".