268500068352 has 384 divisors, whose sum is σ = 809683056000. Its totient is φ = 87907368960.

The previous prime is 268500068341. The next prime is 268500068371. The reversal of 268500068352 is 253860005862.

268500068352 is a `hidden beast` number, since 2 + 68 + 500 + 0 + 6 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 268500068298 and 268500068307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391191968 + ... + 1391192160.

It is an arithmetic number, because the mean of its divisors is an integer number (2108549625).

Almost surely, 2^268500068352 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 268500068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404841528000).

268500068352 is an abundant number, since it is smaller than the sum of its proper divisors (541182987648).

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

268500068352 is a wasteful number, since it uses less digits than its factorization.

268500068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 268500068352 in words is "two hundred sixty-eight billion, five hundred million, sixty-eight thousand, three hundred fifty-two".