268845037200 has 480 divisors, whose sum is σ = 1010673705600. Its totient is φ = 67688110080.

The previous prime is 268845037193. The next prime is 268845037211. The reversal of 268845037200 is 2730548862.

268845037200 is a `hidden beast` number, since 2 + 68 + 84 + 503 + 7 + 2 + 0 + 0 = 666.

268845037200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65046334 + ... + 65050466.

It is an arithmetic number, because the mean of its divisors is an integer number (2105570220).

Almost surely, 2^268845037200 is an apocalyptic number.

268845037200 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 268845037200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505336852800).

268845037200 is an abundant number, since it is smaller than the sum of its proper divisors (741828668400).

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

268845037200 is a wasteful number, since it uses less digits than its factorization.

268845037200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 268845037200 in words is "two hundred sixty-eight billion, eight hundred forty-five million, thirty-seven thousand, two hundred".