6511844416 has 189 divisors, whose sum is σ = 16649475591. Its totient is φ = 2517715200.

The previous prime is 6511844371. The next prime is 6511844419. The reversal of 6511844416 is 6144481156.

The square root of 6511844416 is 80696.

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

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6511844419) 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 26 ways as a sum of consecutive naturals, for example, 49708671 + ... + 49708801.

Almost surely, 2^6511844416 is an apocalyptic number.

6511844416 is the 80696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6511844416

6511844416 is an abundant number, since it is smaller than the sum of its proper divisors (10137631175).

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

6511844416 is a wasteful number, since it uses less digits than its factorization.

6511844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 151 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The cubic root of 6511844416 is about 1867.3884653049.

The spelling of 6511844416 in words is "six billion, five hundred eleven million, eight hundred forty-four thousand, four hundred sixteen".