266946360768 has 672 divisors, whose sum is σ = 869914805760. Its totient is φ = 77856768000.

The previous prime is 266946360763. The next prime is 266946360839. The reversal of 266946360768 is 867063649662.

266946360768 is a `hidden beast` number, since 266 + 9 + 4 + 6 + 360 + 7 + 6 + 8 = 666.

266946360768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266946360763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1107661128 + ... + 1107661368.

It is an arithmetic number, because the mean of its divisors is an integer number (1294516080).

Almost surely, 2^266946360768 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 266946360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434957402880).

266946360768 is an abundant number, since it is smaller than the sum of its proper divisors (602968444992).

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

266946360768 is a wasteful number, since it uses less digits than its factorization.

266946360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 266946360768 in words is "two hundred sixty-six billion, nine hundred forty-six million, three hundred sixty thousand, seven hundred sixty-eight".