813648264768 has 168 divisors, whose sum is σ = 2348651697912. Its totient is φ = 269302505472.

The previous prime is 813648264743. The next prime is 813648264787. The reversal of 813648264768 is 867462846318.

813648264768 is a `hidden beast` number, since 8 + 1 + 36 + 482 + 64 + 7 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146499093504 + 667149171264 = 382752^2 + 816792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207720346 + ... + 207724262.

Almost surely, 2^813648264768 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 813648264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174325848956).

813648264768 is an abundant number, since it is smaller than the sum of its proper divisors (1535003433144).

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

813648264768 is a wasteful number, since it uses less digits than its factorization.

813648264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6376 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 813648264768 in words is "eight hundred thirteen billion, six hundred forty-eight million, two hundred sixty-four thousand, seven hundred sixty-eight".