268091239680 has 648 divisors, whose sum is σ = 1031490762120. Its totient is φ = 64231833600.

The previous prime is 268091239651. The next prime is 268091239687. The reversal of 268091239680 is 86932190862.

268091239680 is a `hidden beast` number, since 268 + 0 + 91 + 239 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12767192064 + 255324047616 = 112992^2 + 505296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268091239687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124057800 + ... + 124059960.

Almost surely, 2^268091239680 is an apocalyptic number.

268091239680 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 268091239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515745381060).

268091239680 is an abundant number, since it is smaller than the sum of its proper divisors (763399522440).

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

268091239680 is a wasteful number, since it uses less digits than its factorization.

268091239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 268091239680 in words is "two hundred sixty-eight billion, ninety-one million, two hundred thirty-nine thousand, six hundred eighty".