268841540736 has 192 divisors, whose sum is σ = 787727697120. Its totient is φ = 87990644736.

The previous prime is 268841540701. The next prime is 268841540761. The reversal of 268841540736 is 637045148862.

It is a happy number.

268841540736 is a `hidden beast` number, since 2 + 68 + 8 + 4 + 1 + 540 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19082751 + ... + 19096833.

Almost surely, 2^268841540736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268841540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393863848560).

268841540736 is an abundant number, since it is smaller than the sum of its proper divisors (518886156384).

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

268841540736 is a wasteful number, since it uses less digits than its factorization.

268841540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 268841540736 in words is "two hundred sixty-eight billion, eight hundred forty-one million, five hundred forty thousand, seven hundred thirty-six".