26642607264 has 768 divisors, whose sum is σ = 104695234560. Its totient is φ = 6390005760.

The previous prime is 26642607209. The next prime is 26642607287. The reversal of 26642607264 is 46270624662.

26642607264 is a `hidden beast` number, since 266 + 4 + 260 + 72 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41434527 + ... + 41435169.

It is an arithmetic number, because the mean of its divisors is an integer number (136321920).

Almost surely, 2^26642607264 is an apocalyptic number.

26642607264 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 26642607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52347617280).

26642607264 is an abundant number, since it is smaller than the sum of its proper divisors (78052627296).

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

26642607264 is a wasteful number, since it uses less digits than its factorization.

26642607264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 26642607264 in words is "twenty-six billion, six hundred forty-two million, six hundred seven thousand, two hundred sixty-four".