266769041760 has 720 divisors, whose sum is σ = 1052617991040. Its totient is φ = 63531786240.

The previous prime is 266769041731. The next prime is 266769041813. The reversal of 266769041760 is 67140967662.

266769041760 is a `hidden beast` number, since 26 + 67 + 6 + 90 + 417 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 266769041697 and 266769041706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67895476 + ... + 67899404.

It is an arithmetic number, because the mean of its divisors is an integer number (1461969432).

Almost surely, 2^266769041760 is an apocalyptic number.

266769041760 is a gapful number since it is divisible by the number (20) 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 266769041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526308995520).

266769041760 is an abundant number, since it is smaller than the sum of its proper divisors (785848949280).

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

266769041760 is a wasteful number, since it uses less digits than its factorization.

266769041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 266769041760 in words is "two hundred sixty-six billion, seven hundred sixty-nine million, forty-one thousand, seven hundred sixty".