268489875456 has 336 divisors, whose sum is σ = 865887422400. Its totient is φ = 79458140160.

The previous prime is 268489875421. The next prime is 268489875569. The reversal of 268489875456 is 654578984862.

268489875456 is a `hidden beast` number, since 2 + 6 + 84 + 8 + 98 + 7 + 5 + 456 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34869495 + ... + 34877193.

It is an arithmetic number, because the mean of its divisors is an integer number (2577045900).

Almost surely, 2^268489875456 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 268489875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432943711200).

268489875456 is an abundant number, since it is smaller than the sum of its proper divisors (597397546944).

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

268489875456 is a wasteful number, since it uses less digits than its factorization.

268489875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7758 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 268489875456 in words is "two hundred sixty-eight billion, four hundred eighty-nine million, eight hundred seventy-five thousand, four hundred fifty-six".