518791680 has 480 divisors, whose sum is σ = 2068260480. Its totient is φ = 118947840.

The previous prime is 518791631. The next prime is 518791681. The reversal of 518791680 is 86197815.

518791680 is a `hidden beast` number, since 518 + 79 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (518791681) 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 47 ways as a sum of consecutive naturals, for example, 5829076 + ... + 5829164.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^518791680 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 518791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034130240).

518791680 is an abundant number, since it is smaller than the sum of its proper divisors (1549468800).

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

518791680 is a wasteful number, since it uses less digits than its factorization.

518791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 518791680 is about 22776.9989243535. The cubic root of 518791680 is about 803.5218066797.

The spelling of 518791680 in words is "five hundred eighteen million, seven hundred ninety-one thousand, six hundred eighty".