268469821440 has 672 divisors, whose sum is σ = 992550293280. Its totient is φ = 69657034752.

The previous prime is 268469821439. The next prime is 268469821453. The reversal of 268469821440 is 44128964862.

It is a happy number.

268469821440 is a `hidden beast` number, since 2 + 68 + 4 + 69 + 82 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7255941102 + ... + 7255941138.

It is an arithmetic number, because the mean of its divisors is an integer number (1477009365).

Almost surely, 2^268469821440 is an apocalyptic number.

268469821440 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 268469821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496275146640).

268469821440 is an abundant number, since it is smaller than the sum of its proper divisors (724080471840).

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

268469821440 is an frugal number, since it uses more digits than its factorization.

268469821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 268469821440 in words is "two hundred sixty-eight billion, four hundred sixty-nine million, eight hundred twenty-one thousand, four hundred forty".