26795268864 has 432 divisors, whose sum is σ = 95674505472. Its totient is φ = 7023255552.

The previous prime is 26795268827. The next prime is 26795268911. The reversal of 26795268864 is 46886259762.

26795268864 is a `hidden beast` number, since 26 + 7 + 9 + 526 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 47593447 + ... + 47594009.

Almost surely, 2^26795268864 is an apocalyptic number.

26795268864 is a gapful number since it is divisible by the number (24) 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 26795268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47837252736).

26795268864 is an abundant number, since it is smaller than the sum of its proper divisors (68879236608).

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

26795268864 is a wasteful number, since it uses less digits than its factorization.

26795268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 815 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 26795268864 in words is "twenty-six billion, seven hundred ninety-five million, two hundred sixty-eight thousand, eight hundred sixty-four".