268734766608 has 600 divisors, whose sum is σ = 991010839104. Its totient is φ = 69520550400.

The previous prime is 268734766607. The next prime is 268734766613. The reversal of 268734766608 is 806667437862.

268734766608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (268734766607) 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 119 ways as a sum of consecutive naturals, for example, 217246566 + ... + 217247802.

Almost surely, 2^268734766608 is an apocalyptic number.

268734766608 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 268734766608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495505419552).

268734766608 is an abundant number, since it is smaller than the sum of its proper divisors (722276072496).

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

268734766608 is a wasteful number, since it uses less digits than its factorization.

268734766608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 268734766608 in words is "two hundred sixty-eight billion, seven hundred thirty-four million, seven hundred sixty-six thousand, six hundred eight".