268675789440 has 256 divisors, whose sum is σ = 868579776000. Its totient is φ = 70631129088.

The previous prime is 268675789427. The next prime is 268675789453. The reversal of 268675789440 is 44987576862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268675789427) and next prime (268675789453).

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 31 ways as a sum of consecutive naturals, for example, 162145092 + ... + 162146748.

It is an arithmetic number, because the mean of its divisors is an integer number (3392889750).

Almost surely, 2^268675789440 is an apocalyptic number.

268675789440 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 268675789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434289888000).

268675789440 is an abundant number, since it is smaller than the sum of its proper divisors (599903986560).

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

268675789440 is a wasteful number, since it uses less digits than its factorization.

268675789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 268675789440 in words is "two hundred sixty-eight billion, six hundred seventy-five million, seven hundred eighty-nine thousand, four hundred forty".