266801685696 has 336 divisors, whose sum is σ = 990758496000. Its totient is φ = 66661595136.

The previous prime is 266801685629. The next prime is 266801685701. The reversal of 266801685696 is 696586108662.

266801685696 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 0 + 1 + 68 + 569 + 6 = 666.

266801685696 is digitally balanced in base 2, 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861955 + ... + 1129853.

It is an arithmetic number, because the mean of its divisors is an integer number (2948686000).

Almost surely, 2^266801685696 is an apocalyptic number.

266801685696 is a gapful number since it is divisible by the number (26) 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 266801685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495379248000).

266801685696 is an abundant number, since it is smaller than the sum of its proper divisors (723956810304).

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

266801685696 is a wasteful number, since it uses less digits than its factorization.

266801685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267956 (or 267943 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 266801685696 in words is "two hundred sixty-six billion, eight hundred one million, six hundred eighty-five thousand, six hundred ninety-six".