268422938880 has 1152 divisors, whose sum is σ = 1003662213120. Its totient is φ = 60728279040.

The previous prime is 268422938837. The next prime is 268422938893. The reversal of 268422938880 is 88839224862.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3397758681 + ... + 3397758759.

It is an arithmetic number, because the mean of its divisors is an integer number (871234560).

Almost surely, 2^268422938880 is an apocalyptic number.

268422938880 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 268422938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501831106560).

268422938880 is an abundant number, since it is smaller than the sum of its proper divisors (735239274240).

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

268422938880 is a wasteful number, since it uses less digits than its factorization.

268422938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 268422938880 in words is "two hundred sixty-eight billion, four hundred twenty-two million, nine hundred thirty-eight thousand, eight hundred eighty".