268778340360 has 192 divisors, whose sum is σ = 922507185600. Its totient is φ = 67680188928.

The previous prime is 268778340323. The next prime is 268778340419. The reversal of 268778340360 is 63043877862.

268778340360 is a `hidden beast` number, since 26 + 87 + 7 + 83 + 403 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268778340297 and 268778340306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035882 + ... + 2163878.

It is an arithmetic number, because the mean of its divisors is an integer number (4804724925).

Almost surely, 2^268778340360 is an apocalyptic number.

268778340360 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 268778340360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461253592800).

268778340360 is an abundant number, since it is smaller than the sum of its proper divisors (653728845240).

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

268778340360 is a wasteful number, since it uses less digits than its factorization.

268778340360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128340 (or 128333 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 268778340360 in words is "two hundred sixty-eight billion, seven hundred seventy-eight million, three hundred forty thousand, three hundred sixty".