26828607664768 has 512 divisors, whose sum is σ = 70987456512000. Its totient is φ = 9806351892480.

The previous prime is 26828607664763. The next prime is 26828607664823. The reversal of 26828607664768 is 86746670682862.

It is a junction number, because it is equal to n+sod(n) for n = 26828607664694 and 26828607664703.

It is not an unprimeable number, because it can be changed into a prime (26828607664763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4974706680 + ... + 4974712072.

It is an arithmetic number, because the mean of its divisors is an integer number (138647376000).

Almost surely, 2^{26828607664768} is an apocalyptic number.

26828607664768 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 26828607664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35493728256000).

26828607664768 is an abundant number, since it is smaller than the sum of its proper divisors (44158848847232).

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

26828607664768 is a wasteful number, since it uses less digits than its factorization.

26828607664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 76.

The spelling of 26828607664768 in words is "twenty-six trillion, eight hundred twenty-eight billion, six hundred seven million, six hundred sixty-four thousand, seven hundred sixty-eight".