268322076800 has 72 divisors (see below), whose sum is σ = 662911774335. Its totient is φ = 107317109760.

The previous prime is 268322076797. The next prime is 268322076833. The reversal of 268322076800 is 8670223862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13910787136 + 254411289664 = 117944^2 + 504392^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=366280.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29297822 + ... + 29306978.

Almost surely, 2^268322076800 is an apocalyptic number.

268322076800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268322076800 is an abundant number, since it is smaller than the sum of its proper divisors (394589697535).

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

268322076800 is an frugal number, since it uses more digits than its factorization.

268322076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 268322076800 in words is "two hundred sixty-eight billion, three hundred twenty-two million, seventy-six thousand, eight hundred".