268659376128 has 960 divisors, whose sum is σ = 972377763840. Its totient is φ = 72194457600.

The previous prime is 268659376091. The next prime is 268659376147. The reversal of 268659376128 is 821673956862.

It is a happy number.

268659376128 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 5 + 9 + 3 + 7 + 612 + 8 = 666.

It is a super-4 number, since 4×268659376128⁴ (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1961017276 + ... + 1961017412.

It is an arithmetic number, because the mean of its divisors is an integer number (1012893504).

Almost surely, 2^268659376128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268659376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486188881920).

268659376128 is an abundant number, since it is smaller than the sum of its proper divisors (703718387712).

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

268659376128 is a wasteful number, since it uses less digits than its factorization.

268659376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 268659376128 in words is "two hundred sixty-eight billion, six hundred fifty-nine million, three hundred seventy-six thousand, one hundred twenty-eight".