26740577242368 has 432 divisors, whose sum is σ = 90565825896000. Its totient is φ = 7497275473920.

The previous prime is 26740577242279. The next prime is 26740577242403. The reversal of 26740577242368 is 86324277504762.

26740577242368 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 0 + 577 + 24 + 2 + 36 + 8 = 666.

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, 24894058 + ... + 25946006.

It is an arithmetic number, because the mean of its divisors is an integer number (209643115500).

Almost surely, 2^{26740577242368} 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 26740577242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45282912948000).

26740577242368 is an abundant number, since it is smaller than the sum of its proper divisors (63825248653632).

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

26740577242368 is a wasteful number, since it uses less digits than its factorization.

26740577242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052058 (or 1052041 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 26740577242368 in words is "twenty-six trillion, seven hundred forty billion, five hundred seventy-seven million, two hundred forty-two thousand, three hundred sixty-eight".