6416728720 has 20 divisors (see below), whose sum is σ = 14918894460. Its totient is φ = 2566691456.

The previous prime is 6416728691. The next prime is 6416728733. The reversal of 6416728720 is 278276146.

It can be written as a sum of positive squares in 2 ways, for example, as 4999055616 + 1417673104 = 70704^2 + 37652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40104475 + ... + 40104634.

It is an arithmetic number, because the mean of its divisors is an integer number (745944723).

Almost surely, 2^6416728720 is an apocalyptic number.

It is an amenable number.

6416728720 is an abundant number, since it is smaller than the sum of its proper divisors (8502165740).

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

6416728720 is a wasteful number, since it uses less digits than its factorization.

6416728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80209122 (or 80209116 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 6416728720 is about 80104.4862663759. The cubic root of 6416728720 is about 1858.2517893708.

The spelling of 6416728720 in words is "six billion, four hundred sixteen million, seven hundred twenty-eight thousand, seven hundred twenty".