266079740064768 has 396 divisors, whose sum is σ = 926837504541312. Its totient is φ = 76022779392000.

The previous prime is 266079740064667. The next prime is 266079740064821. The reversal of 266079740064768 is 867460047970662.

266079740064768 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 7 + 97 + 400 + 64 + 76 + 8 = 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 = 266079740064696 and 266079740064705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1281393 + ... + 23104143.

Almost surely, 2^{266079740064768} is an apocalyptic number.

266079740064768 is a gapful number since it is divisible by the number (28) 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 266079740064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463418752270656).

266079740064768 is an abundant number, since it is smaller than the sum of its proper divisors (660757764476544).

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

266079740064768 is an equidigital number, since it uses as much as digits as its factorization.

266079740064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21822800 (or 21822763 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 266079740064768 in words is "two hundred sixty-six trillion, seventy-nine billion, seven hundred forty million, sixty-four thousand, seven hundred sixty-eight".