264820799808 has 168 divisors, whose sum is σ = 800023617120. Its totient is φ = 83521704960.

The previous prime is 264820799767. The next prime is 264820799809. The reversal of 264820799808 is 808997028462.

264820799808 is a `hidden beast` number, since 2 + 6 + 482 + 0 + 79 + 9 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264820799809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8860666 + ... + 8890502.

It is an arithmetic number, because the mean of its divisors is an integer number (4762045340).

Almost surely, 2^264820799808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264820799808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400011808560).

264820799808 is an abundant number, since it is smaller than the sum of its proper divisors (535202817312).

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

264820799808 is a wasteful number, since it uses less digits than its factorization.

264820799808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30685 (or 30672 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 264820799808 in words is "two hundred sixty-four billion, eight hundred twenty million, seven hundred ninety-nine thousand, eight hundred eight".