26740636738560 has 1760 divisors, whose sum is σ = 105340131832320. Its totient is φ = 6459280588800.

The previous prime is 26740636738553. The next prime is 26740636738579. The reversal of 26740636738560 is 6583763604762.

26740636738560 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 0 + 6 + 3 + 67 + 3 + 8 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22835726775 + ... + 22835727945.

It is an arithmetic number, because the mean of its divisors is an integer number (59852347632).

Almost surely, 2^{26740636738560} is an apocalyptic number.

26740636738560 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 26740636738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52670065916160).

26740636738560 is an abundant number, since it is smaller than the sum of its proper divisors (78599495093760).

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

26740636738560 is a wasteful number, since it uses less digits than its factorization.

26740636738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 26740636738560 in words is "twenty-six trillion, seven hundred forty billion, six hundred thirty-six million, seven hundred thirty-eight thousand, five hundred sixty".