268710349338880 has 72 divisors (see below), whose sum is σ = 654196820458104. Its totient is φ = 105722104627200.

The previous prime is 268710349338869. The next prime is 268710349338901. The reversal of 268710349338880 is 88833943017862.

It can be written as a sum of positive squares in 4 ways, for example, as 989022294016 + 267721327044864 = 994496^2 + 16362192^2 .

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 7 ways as a sum of consecutive naturals, for example, 1720659301 + ... + 1720815460.

It is an arithmetic number, because the mean of its divisors is an integer number (9086066950807).

Almost surely, 2^{268710349338880} is an apocalyptic number.

268710349338880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268710349338880 is an abundant number, since it is smaller than the sum of its proper divisors (385486471119224).

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

268710349338880 is an equidigital number, since it uses as much as digits as its factorization.

268710349338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441474843 (or 3441474829 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 70.

The spelling of 268710349338880 in words is "two hundred sixty-eight trillion, seven hundred ten billion, three hundred forty-nine million, three hundred thirty-eight thousand, eight hundred eighty".