26646773568768 has 864 divisors, whose sum is σ = 86216444899200. Its totient is φ = 8103801323520.

The previous prime is 26646773568749. The next prime is 26646773568787. The reversal of 26646773568768 is 86786537764662.

26646773568768 is a `hidden beast` number, since 2 + 6 + 6 + 46 + 7 + 7 + 3 + 568 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (26646773568749) and next prime (26646773568787).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8283111096 + ... + 8283114312.

Almost surely, 2^{26646773568768} 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 26646773568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43108222449600).

26646773568768 is an abundant number, since it is smaller than the sum of its proper divisors (59569671330432).

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

26646773568768 is a wasteful number, since it uses less digits than its factorization.

26646773568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3325 counting only the distinct ones).

The product of its digits is 20483850240, while the sum is 81.

The spelling of 26646773568768 in words is "twenty-six trillion, six hundred forty-six billion, seven hundred seventy-three million, five hundred sixty-eight thousand, seven hundred sixty-eight".