518688768 has 208 divisors, whose sum is σ = 1585253376. Its totient is φ = 149422080.

The previous prime is 518688767. The next prime is 518688769. The reversal of 518688768 is 867886815.

It is an interprime number because it is at equal distance from previous prime (518688767) and next prime (518688769).

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (518688761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715553 + ... + 2715743.

Almost surely, 2^518688768 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 518688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792626688).

518688768 is an abundant number, since it is smaller than the sum of its proper divisors (1066564608).

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

518688768 is a wasteful number, since it uses less digits than its factorization.

518688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The square root of 518688768 is about 22774.7396911578. The cubic root of 518688768 is about 803.4686719902.

The spelling of 518688768 in words is "five hundred eighteen million, six hundred eighty-eight thousand, seven hundred sixty-eight".