268709207760 has 480 divisors, whose sum is σ = 1093057539840. Its totient is φ = 59434767360.

The previous prime is 268709207747. The next prime is 268709207771. The reversal of 268709207760 is 67702907862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 268709207697 and 268709207706.

It is a congruent number.

It is an unprimeable number.

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, 14521074 + ... + 14539566.

It is an arithmetic number, because the mean of its divisors is an integer number (2277203208).

Almost surely, 2^268709207760 is an apocalyptic number.

268709207760 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 268709207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546528769920).

268709207760 is an abundant number, since it is smaller than the sum of its proper divisors (824348332080).

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

268709207760 is a wasteful number, since it uses less digits than its factorization.

268709207760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584 (or 18541 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 268709207760 in words is "two hundred sixty-eight billion, seven hundred nine million, two hundred seven thousand, seven hundred sixty".