266850317664 has 288 divisors, whose sum is σ = 882687274560. Its totient is φ = 74898210816.

The previous prime is 266850317627. The next prime is 266850317677. The reversal of 266850317664 is 466713058662.

266850317664 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 503 + 1 + 76 + 64 = 666.

266850317664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 266850317664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28164832 + ... + 28174304.

It is an arithmetic number, because the mean of its divisors is an integer number (3064886370).

Almost surely, 2^266850317664 is an apocalyptic number.

266850317664 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 266850317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441343637280).

266850317664 is an abundant number, since it is smaller than the sum of its proper divisors (615836956896).

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

266850317664 is a wasteful number, since it uses less digits than its factorization.

266850317664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 266850317664 in words is "two hundred sixty-six billion, eight hundred fifty million, three hundred seventeen thousand, six hundred sixty-four".