268727646914496 has 448 divisors, whose sum is σ = 985109753180160. Its totient is φ = 69787850296320.

The previous prime is 268727646914449. The next prime is 268727646914509. The reversal of 268727646914496 is 694419646727862.

268727646914496 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 2 + 7 + 6 + 469 + 144 + 9 + 6 = 666.

268727646914496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 819860275 + ... + 820187981.

Almost surely, 2^{268727646914496} 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 268727646914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492554876590080).

268727646914496 is an abundant number, since it is smaller than the sum of its proper divisors (716382106265664).

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

268727646914496 is a wasteful number, since it uses less digits than its factorization.

268727646914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333909 (or 333893 counting only the distinct ones).

The product of its digits is 10534551552, while the sum is 81.

The spelling of 268727646914496 in words is "two hundred sixty-eight trillion, seven hundred twenty-seven billion, six hundred forty-six million, nine hundred fourteen thousand, four hundred ninety-six".