518376768 has 112 divisors (see below), whose sum is σ = 1688104320. Its totient is φ = 136710144.

The previous prime is 518376713. The next prime is 518376787. The reversal of 518376768 is 867673815.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 518376768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638 + ... + 32306.

It is an arithmetic number, because the mean of its divisors is an integer number (15072360).

Almost surely, 2^518376768 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 518376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844052160).

518376768 is an abundant number, since it is smaller than the sum of its proper divisors (1169727552).

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

518376768 is a wasteful number, since it uses less digits than its factorization.

518376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29704 (or 29694 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 518376768 is about 22767.8889667004. Note that the first 3 decimals coincide. The cubic root of 518376768 is about 803.3075397139.

The spelling of 518376768 in words is "five hundred eighteen million, three hundred seventy-six thousand, seven hundred sixty-eight".