268906837760 has 864 divisors, whose sum is σ = 799062195456. Its totient is φ = 86219161600.

The previous prime is 268906837747. The next prime is 268906837769. The reversal of 268906837760 is 67738609862.

It is a junction number, because it is equal to n+sod(n) for n = 268906837693 and 268906837702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268906837769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5073713894 + ... + 5073713946.

It is an arithmetic number, because the mean of its divisors is an integer number (924840504).

Almost surely, 2^268906837760 is an apocalyptic number.

268906837760 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 268906837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399531097728).

268906837760 is an abundant number, since it is smaller than the sum of its proper divisors (530155357696).

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

268906837760 is a wasteful number, since it uses less digits than its factorization.

268906837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 62.

The spelling of 268906837760 in words is "two hundred sixty-eight billion, nine hundred six million, eight hundred thirty-seven thousand, seven hundred sixty".