26693674560 has 672 divisors, whose sum is σ = 111302231040. Its totient is φ = 5736075264.

The previous prime is 26693674549. The next prime is 26693674583. The reversal of 26693674560 is 6547639662.

26693674560 is a `hidden beast` number, since 2 + 6 + 6 + 9 + 3 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 26693674497 and 26693674506.

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 95 ways as a sum of consecutive naturals, for example, 86949927 + ... + 86950233.

It is an arithmetic number, because the mean of its divisors is an integer number (165628320).

Almost surely, 2^26693674560 is an apocalyptic number.

26693674560 is a gapful number since it is divisible by the number (20) 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 26693674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651115520).

26693674560 is an abundant number, since it is smaller than the sum of its proper divisors (84608556480).

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

26693674560 is a wasteful number, since it uses less digits than its factorization.

26693674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 26693674560 in words is "twenty-six billion, six hundred ninety-three million, six hundred seventy-four thousand, five hundred sixty".