268406304800 has 72 divisors (see below), whose sum is σ = 655319056896. Its totient is φ = 107350698240.

The previous prime is 268406304791. The next prime is 268406304847. The reversal of 268406304800 is 8403604862.

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 11 ways as a sum of consecutive naturals, for example, 12839957 + ... + 12860843.

It is an arithmetic number, because the mean of its divisors is an integer number (9101653568).

Almost surely, 2^268406304800 is an apocalyptic number.

268406304800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268406304800 is an abundant number, since it is smaller than the sum of its proper divisors (386912752096).

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

268406304800 is a wasteful number, since it uses less digits than its factorization.

268406304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 268406304800 in words is "two hundred sixty-eight billion, four hundred six million, three hundred four thousand, eight hundred".