268919940360 has 128 divisors (see below), whose sum is σ = 842216175360. Its totient is φ = 68563123200.

The previous prime is 268919940329. The next prime is 268919940361. The reversal of 268919940360 is 63049919862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268919940360.

It is not an unprimeable number, because it can be changed into a prime (268919940361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6440350 + ... + 6481970.

It is an arithmetic number, because the mean of its divisors is an integer number (6579813870).

Almost surely, 2^268919940360 is an apocalyptic number.

268919940360 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 268919940360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421108087680).

268919940360 is an abundant number, since it is smaller than the sum of its proper divisors (573296235000).

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

268919940360 is a wasteful number, since it uses less digits than its factorization.

268919940360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43999 (or 43995 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 268919940360 in words is "two hundred sixty-eight billion, nine hundred nineteen million, nine hundred forty thousand, three hundred sixty".