26760595968 has 200 divisors, whose sum is σ = 84573992052. Its totient is φ = 8395259904.

The previous prime is 26760595937. The next prime is 26760595973. The reversal of 26760595968 is 86959506762.

It can be written as a sum of positive squares in 2 ways, for example, as 25872079104 + 888516864 = 160848^2 + 29808^2 .

It is a super-2 number, since 2×26760595968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 686046 + ... + 724002.

Almost surely, 2^26760595968 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 26760595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42286996026).

26760595968 is an abundant number, since it is smaller than the sum of its proper divisors (57813396084).

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

26760595968 is an equidigital number, since it uses as much as digits as its factorization.

26760595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38004 (or 37979 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 26760595968 in words is "twenty-six billion, seven hundred sixty million, five hundred ninety-five thousand, nine hundred sixty-eight".