268470845424000 has 768 divisors, whose sum is σ = 1074590070091200. Its totient is φ = 63834542899200.

The previous prime is 268470845423987. The next prime is 268470845424073. The reversal of 268470845424000 is 424548074862.

It is a happy number.

268470845424000 is a `hidden beast` number, since 2 + 6 + 8 + 470 + 84 + 54 + 2 + 40 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43625962 + ... + 49398038.

Almost surely, 2^{268470845424000} is an apocalyptic number.

268470845424000 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 268470845424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537295035045600).

268470845424000 is an abundant number, since it is smaller than the sum of its proper divisors (806119224667200).

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

268470845424000 is a wasteful number, since it uses less digits than its factorization.

268470845424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772148 (or 5772123 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 268470845424000 in words is "two hundred sixty-eight trillion, four hundred seventy billion, eight hundred forty-five million, four hundred twenty-four thousand".