266964338160 has 960 divisors, whose sum is σ = 1066995993600. Its totient is φ = 61138022400.

The previous prime is 266964338143. The next prime is 266964338167. The reversal of 266964338160 is 61833469662.

266964338160 is a `hidden beast` number, since 2 + 66 + 96 + 4 + 338 + 160 = 666.

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 = 266964338097 and 266964338106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266964338167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423081045 + ... + 423081675.

It is an arithmetic number, because the mean of its divisors is an integer number (1111454160).

Almost surely, 2^266964338160 is an apocalyptic number.

266964338160 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 266964338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533497996800).

266964338160 is an abundant number, since it is smaller than the sum of its proper divisors (800031655440).

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

266964338160 is a wasteful number, since it uses less digits than its factorization.

266964338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 266964338160 in words is "two hundred sixty-six billion, nine hundred sixty-four million, three hundred thirty-eight thousand, one hundred sixty".