268842732080 has 160 divisors (see below), whose sum is σ = 689655859200. Its totient is φ = 96835415040.

The previous prime is 268842732079. The next prime is 268842732113. The reversal of 268842732080 is 80237248862.

It is a super-2 number, since 2×268842732080² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40736621 + ... + 40743219.

It is an arithmetic number, because the mean of its divisors is an integer number (4310349120).

Almost surely, 2^268842732080 is an apocalyptic number.

268842732080 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 268842732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344827929600).

268842732080 is an abundant number, since it is smaller than the sum of its proper divisors (420813127120).

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

268842732080 is a wasteful number, since it uses less digits than its factorization.

268842732080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 268842732080 in words is "two hundred sixty-eight billion, eight hundred forty-two million, seven hundred thirty-two thousand, eighty".