268824264264864 has 1152 divisors, whose sum is σ = 1001357115752448. Its totient is φ = 68911236725760.

The previous prime is 268824264264851. The next prime is 268824264264893. The reversal of 268824264264864 is 468462462428862.

268824264264864 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 24 + 264 + 264 + 86 + 4 = 666.

268824264264864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 268824264264792 and 268824264264801.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60778714557 + ... + 60778718979.

It is an arithmetic number, because the mean of its divisors is an integer number (869233607424).

Almost surely, 2^{268824264264864} is an apocalyptic number.

268824264264864 is a gapful number since it is divisible by the number (24) 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 268824264264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500678557876224).

268824264264864 is an abundant number, since it is smaller than the sum of its proper divisors (732532851487584).

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

268824264264864 is a wasteful number, since it uses less digits than its factorization.

268824264264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5752 counting only the distinct ones).

The product of its digits is 2717908992, while the sum is 72.

The spelling of 268824264264864 in words is "two hundred sixty-eight trillion, eight hundred twenty-four billion, two hundred sixty-four million, two hundred sixty-four thousand, eight hundred sixty-four".