268664000000 has 560 divisors, whose sum is σ = 759567777408. Its totient is φ = 94080000000.

The previous prime is 268663999997. The next prime is 268664000041. The reversal of 268664000000 is 466862.

It is a happy number.

268664000000 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 (32).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 3783999965 + ... + 3784000035.

Almost surely, 2^268664000000 is an apocalyptic number.

268664000000 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 268664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379783888704).

268664000000 is an abundant number, since it is smaller than the sum of its proper divisors (490903777408).

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

268664000000 is an frugal number, since it uses more digits than its factorization.

268664000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 268664000000 its reverse (466862), we get a palindrome (268664466862).

The spelling of 268664000000 in words is "two hundred sixty-eight billion, six hundred sixty-four million", and thus it is an aban number.