26680827264 has 512 divisors, whose sum is σ = 92287641600. Its totient is φ = 6637289472.

The previous prime is 26680827263. The next prime is 26680827269. The reversal of 26680827264 is 46272808662.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26680827263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71530182 + ... + 71530554.

It is an arithmetic number, because the mean of its divisors is an integer number (180249300).

Almost surely, 2^26680827264 is an apocalyptic number.

26680827264 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 26680827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46143820800).

26680827264 is an abundant number, since it is smaller than the sum of its proper divisors (65606814336).

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

26680827264 is a wasteful number, since it uses less digits than its factorization.

26680827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 26680827264 in words is "twenty-six billion, six hundred eighty million, eight hundred twenty-seven thousand, two hundred sixty-four".