26683944768 has 336 divisors, whose sum is σ = 85194135936. Its totient is φ = 7933685760.

The previous prime is 26683944757. The next prime is 26683944823. The reversal of 26683944768 is 86744938662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28176871 + ... + 28177817.

It is an arithmetic number, because the mean of its divisors is an integer number (253553976).

Almost surely, 2^26683944768 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 26683944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42597067968).

26683944768 is an abundant number, since it is smaller than the sum of its proper divisors (58510191168).

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

26683944768 is a wasteful number, since it uses less digits than its factorization.

26683944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 26683944768 in words is "twenty-six billion, six hundred eighty-three million, nine hundred forty-four thousand, seven hundred sixty-eight".