268630091730 has 1152 divisors, whose sum is σ = 999773798400. Its totient is φ = 49533120000.

The previous prime is 268630091711. The next prime is 268630091731. The reversal of 268630091730 is 37190036862.

268630091730 is a `hidden beast` number, since 2 + 6 + 8 + 630 + 0 + 9 + 1 + 7 + 3 + 0 = 666.

268630091730 is digitally balanced in base 3, 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 (45).

It is not an unprimeable number, because it can be changed into a prime (268630091731) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 1779007155 + ... + 1779007305.

It is an arithmetic number, because the mean of its divisors is an integer number (867859200).

Almost surely, 2^268630091730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268630091730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499886899200).

268630091730 is an abundant number, since it is smaller than the sum of its proper divisors (731143706670).

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

268630091730 is a wasteful number, since it uses less digits than its factorization.

268630091730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 268630091730 in words is "two hundred sixty-eight billion, six hundred thirty million, ninety-one thousand, seven hundred thirty".