268462108896768 has 480 divisors, whose sum is σ = 805099102359552. Its totient is φ = 86026862592000.

The previous prime is 268462108896757. The next prime is 268462108896869. The reversal of 268462108896768 is 867698801264862.

268462108896768 is a `hidden beast` number, since 2 + 6 + 8 + 462 + 1 + 0 + 8 + 8 + 96 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54223812693 + ... + 54223817643.

Almost surely, 2^{268462108896768} 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 268462108896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402549551179776).

268462108896768 is an abundant number, since it is smaller than the sum of its proper divisors (536636993462784).

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

268462108896768 is a wasteful number, since it uses less digits than its factorization.

268462108896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 268462108896768 in words is "two hundred sixty-eight trillion, four hundred sixty-two billion, one hundred eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".