26716695264 has 672 divisors, whose sum is σ = 96953472000. Its totient is φ = 7074542592.

The previous prime is 26716695263. The next prime is 26716695277. The reversal of 26716695264 is 46259661762.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 26716695264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26716695263) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 245107242 + ... + 245107350.

It is an arithmetic number, because the mean of its divisors is an integer number (144276000).

Almost surely, 2^26716695264 is an apocalyptic number.

26716695264 is a gapful number since it is divisible by the number (24) 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 26716695264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48476736000).

26716695264 is an abundant number, since it is smaller than the sum of its proper divisors (70236776736).

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

26716695264 is a wasteful number, since it uses less digits than its factorization.

26716695264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 267 and 16695264, that added together give a triangular number (16695531 = T₅₇₇₈).

The spelling of 26716695264 in words is "twenty-six billion, seven hundred sixteen million, six hundred ninety-five thousand, two hundred sixty-four".