26945376864 has 96 divisors (see below), whose sum is σ = 81591826176. Its totient is φ = 7626708480.

The previous prime is 26945376847. The next prime is 26945376893. The reversal of 26945376864 is 46867354962.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×26945376864³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26945376798 and 26945376807.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 115467 + ... + 259274.

It is an arithmetic number, because the mean of its divisors is an integer number (849914856).

Almost surely, 2^26945376864 is an apocalyptic number.

26945376864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26945376864 is an abundant number, since it is smaller than the sum of its proper divisors (54646449312).

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

26945376864 is a wasteful number, since it uses less digits than its factorization.

26945376864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374868 (or 374860 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 26945376864 in words is "twenty-six billion, nine hundred forty-five million, three hundred seventy-six thousand, eight hundred sixty-four".