6005630016 has 63 divisors (see below), whose sum is σ = 17219386821. Its totient is φ = 2001256704.

The previous prime is 6005630009. The next prime is 6005630047. The reversal of 6005630016 is 6100365006.

The square root of 6005630016 is 77496.

It is a perfect power (a square), and thus also a powerful number.

6005630016 is a `hidden beast` number, since 600 + 56 + 3 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1806590016 + 4199040000 = 42504^2 + 64800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1858290 + ... + 1861518.

Almost surely, 2^6005630016 is an apocalyptic number.

6005630016 is the 77496-th square number.

It is an amenable number.

6005630016 is an abundant number, since it is smaller than the sum of its proper divisors (11213756805).

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

6005630016 is an frugal number, since it uses more digits than its factorization.

6005630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 6005630016 is about 1817.6887717111.

The spelling of 6005630016 in words is "six billion, five million, six hundred thirty thousand, sixteen".