6352727616 has 231 divisors, whose sum is σ = 19381632433. Its totient is φ = 2065927680.

The previous prime is 6352727611. The next prime is 6352727629. The reversal of 6352727616 is 6167272536.

The square root of 6352727616 is 79704.

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

6352727616 is a `hidden beast` number, since 6 + 3 + 5 + 2 + 7 + 27 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 6046617600 = 17496^2 + 77760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6352727611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 154944556 + ... + 154944596.

Almost surely, 2^6352727616 is an apocalyptic number.

6352727616 is the 79704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6352727616

6352727616 is an abundant number, since it is smaller than the sum of its proper divisors (13028904817).

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

6352727616 is an frugal number, since it uses more digits than its factorization.

6352727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 46 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The cubic root of 6352727616 is about 1852.0530036595.

The spelling of 6352727616 in words is "six billion, three hundred fifty-two million, seven hundred twenty-seven thousand, six hundred sixteen".