268946736200 has 96 divisors (see below), whose sum is σ = 634741427520. Its totient is φ = 105957600000.

The previous prime is 268946736181. The next prime is 268946736241. The reversal of 268946736200 is 2637649862.

268946736200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 15057275 + ... + 15075125.

It is an arithmetic number, because the mean of its divisors is an integer number (6611889870).

Almost surely, 2^268946736200 is an apocalyptic number.

268946736200 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 268946736200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317370713760).

268946736200 is an abundant number, since it is smaller than the sum of its proper divisors (365794691320).

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

268946736200 is a wasteful number, since it uses less digits than its factorization.

268946736200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18999 (or 18990 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 268946736200 in words is "two hundred sixty-eight billion, nine hundred forty-six million, seven hundred thirty-six thousand, two hundred".