266813677306368 has 200 divisors, whose sum is σ = 798538559165952. Its totient is φ = 88695549794304.

The previous prime is 266813677306349. The next prime is 266813677306403. The reversal of 266813677306368 is 863603776318662.

266813677306368 is a `hidden beast` number, since 2 + 6 + 6 + 81 + 367 + 73 + 0 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 266813677306296 and 266813677306305.

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 19 ways as a sum of consecutive naturals, for example, 6455121 + ... + 23985327.

Almost surely, 2^{266813677306368} 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 266813677306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399269279582976).

266813677306368 is an abundant number, since it is smaller than the sum of its proper divisors (531724881859584).

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

266813677306368 is an equidigital number, since it uses as much as digits as its factorization.

266813677306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17530604 (or 17530579 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 266813677306368 in words is "two hundred sixty-six trillion, eight hundred thirteen billion, six hundred seventy-seven million, three hundred six thousand, three hundred sixty-eight".