26647193816464 has 135 divisors (see below), whose sum is σ = 57479121981603. Its totient is φ = 11961847362816.

The previous prime is 26647193816449. The next prime is 26647193816479. The reversal of 26647193816464 is 46461839174662.

The square root of 26647193816464 is 5162092.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (26647193816449) and next prime (26647193816479).

It can be written as a sum of positive squares in 4 ways, for example, as 110683966864 + 26536509849600 = 332692^2 + 5151360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26647193816464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9931863667 + ... + 9931866349.

Almost surely, 2^{26647193816464} is an apocalyptic number.

26647193816464 is the 5162092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26647193816464

26647193816464 is an abundant number, since it is smaller than the sum of its proper divisors (30831928165139).

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

26647193816464 is an frugal number, since it uses more digits than its factorization.

26647193816464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 2735 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 67.

The spelling of 26647193816464 in words is "twenty-six trillion, six hundred forty-seven billion, one hundred ninety-three million, eight hundred sixteen thousand, four hundred sixty-four".