6504556416 has 128 divisors (see below), whose sum is σ = 17506627200. Its totient is φ = 2139691008.

The previous prime is 6504556391. The next prime is 6504556417. The reversal of 6504556416 is 6146554056.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6504556417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11891055 + ... + 11891601.

It is an arithmetic number, because the mean of its divisors is an integer number (136770525).

Almost surely, 2^6504556416 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 6504556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753313600).

6504556416 is an abundant number, since it is smaller than the sum of its proper divisors (11002070784).

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

6504556416 is a wasteful number, since it uses less digits than its factorization.

6504556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 6504556416 is about 80650.8302251130. The cubic root of 6504556416 is about 1866.6915502352.

The spelling of 6504556416 in words is "six billion, five hundred four million, five hundred fifty-six thousand, four hundred sixteen".