6351441536 has 256 divisors, whose sum is σ = 15545779200. Its totient is φ = 2549268480.

The previous prime is 6351441529. The next prime is 6351441631.

6351441536 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6351441536.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45693755 + ... + 45693893.

It is an arithmetic number, because the mean of its divisors is an integer number (60725700).

Almost surely, 2^6351441536 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 6351441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

6351441536 is an abundant number, since it is smaller than the sum of its proper divisors (9194337664).

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

6351441536 is a wasteful number, since it uses less digits than its factorization.

6351441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 6351441536 is about 79695.9317405851. The cubic root of 6351441536 is about 1851.9280154012.

The spelling of 6351441536 in words is "six billion, three hundred fifty-one million, four hundred forty-one thousand, five hundred thirty-six".