268281665568 has 864 divisors, whose sum is σ = 957693155328. Its totient is φ = 73613836800.

The previous prime is 268281665489. The next prime is 268281665569. The reversal of 268281665568 is 865566182862.

268281665568 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 8 + 1 + 6 + 65 + 568 = 666.

268281665568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (268281665569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1271476983 + ... + 1271477193.

It is an arithmetic number, because the mean of its divisors is an integer number (1108441152).

Almost surely, 2^268281665568 is an apocalyptic number.

268281665568 is a gapful number since it is divisible by the number (28) 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 268281665568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478846577664).

268281665568 is an abundant number, since it is smaller than the sum of its proper divisors (689411489760).

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

268281665568 is a wasteful number, since it uses less digits than its factorization.

268281665568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 268281665568 in words is "two hundred sixty-eight billion, two hundred eighty-one million, six hundred sixty-five thousand, five hundred sixty-eight".