26964267264 has 243 divisors, whose sum is σ = 85730499127. Its totient is φ = 8144716800.

The previous prime is 26964267229. The next prime is 26964267283. The reversal of 26964267264 is 46276246962.

The square root of 26964267264 is 164208.

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

26964267264 is a `hidden beast` number, since 2 + 6 + 96 + 426 + 72 + 64 = 666.

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 26964267264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86701669 + ... + 86701979.

Almost surely, 2^26964267264 is an apocalyptic number.

26964267264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26964267264 is the 164208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26964267264

26964267264 is an abundant number, since it is smaller than the sum of its proper divisors (58766231863).

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

26964267264 is an equidigital number, since it uses as much as digits as its factorization.

26964267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 327 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 26964267264 in words is "twenty-six billion, nine hundred sixty-four million, two hundred sixty-seven thousand, two hundred sixty-four".