26468702568 has 480 divisors, whose sum is σ = 95872420800. Its totient is φ = 6439910400.

The previous prime is 26468702539. The next prime is 26468702597. The reversal of 26468702568 is 86520786462.

26468702568 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 8 + 70 + 2 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (26468702539) and next prime (26468702597).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125443983 + ... + 125444193.

It is an arithmetic number, because the mean of its divisors is an integer number (199734210).

Almost surely, 2^26468702568 is an apocalyptic number.

26468702568 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 26468702568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47936210400).

26468702568 is an abundant number, since it is smaller than the sum of its proper divisors (69403718232).

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

26468702568 is a wasteful number, since it uses less digits than its factorization.

26468702568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 26468702568 in words is "twenty-six billion, four hundred sixty-eight million, seven hundred two thousand, five hundred sixty-eight".