266463849600 has 288 divisors, whose sum is σ = 1023944294100. Its totient is φ = 65591009280.

The previous prime is 266463849593. The next prime is 266463849647. The reversal of 266463849600 is 6948364662.

266463849600 is a `hidden beast` number, since 26 + 6 + 4 + 6 + 3 + 8 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1172925504 + 265290924096 = 34248^2 + 515064^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18546 + ... + 730254.

Almost surely, 2^266463849600 is an apocalyptic number.

266463849600 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 266463849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511972147050).

266463849600 is an abundant number, since it is smaller than the sum of its proper divisors (757480444500).

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

266463849600 is a wasteful number, since it uses less digits than its factorization.

266463849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711752 (or 711732 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 266463849600 in words is "two hundred sixty-six billion, four hundred sixty-three million, eight hundred forty-nine thousand, six hundred".