6631659216 has 600 divisors, whose sum is σ = 24964105320. Its totient is φ = 1682601984.

The previous prime is 6631659173. The next prime is 6631659233. The reversal of 6631659216 is 6129561366.

6631659216 is a `hidden beast` number, since 6 + 631 + 6 + 5 + 9 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6350400 + 6625308816 = 2520^2 + 81396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23940870 + ... + 23941146.

Almost surely, 2^6631659216 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 6631659216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482052660).

6631659216 is an abundant number, since it is smaller than the sum of its proper divisors (18332446104).

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

6631659216 is a wasteful number, since it uses less digits than its factorization.

6631659216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 6631659216 is about 81434.9999447412. Note that the first 4 decimals coincide. The cubic root of 6631659216 is about 1878.7719473454.

The spelling of 6631659216 in words is "six billion, six hundred thirty-one million, six hundred fifty-nine thousand, two hundred sixteen".