268296294672 has 120 divisors (see below), whose sum is σ = 887712795840. Its totient is φ = 74012762880.

The previous prime is 268296294671. The next prime is 268296294697. The reversal of 268296294672 is 276492692862.

268296294672 is a `hidden beast` number, since 2 + 6 + 82 + 96 + 2 + 9 + 467 + 2 = 666.

268296294672 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 (63).

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

It is not an unprimeable number, because it can be changed into a prime (268296294671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4559854 + ... + 4618317.

It is an arithmetic number, because the mean of its divisors is an integer number (7397606632).

Almost surely, 2^268296294672 is an apocalyptic number.

It is an amenable number.

268296294672 is an abundant number, since it is smaller than the sum of its proper divisors (619416501168).

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

268296294672 is a wasteful number, since it uses less digits than its factorization.

268296294672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178221 (or 9178212 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 268296294672 in words is "two hundred sixty-eight billion, two hundred ninety-six million, two hundred ninety-four thousand, six hundred seventy-two".