6544412600 has 192 divisors, whose sum is σ = 17439062400. Its totient is φ = 2261952000.

The previous prime is 6544412591. The next prime is 6544412603. The reversal of 6544412600 is 62144456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6544412603) 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 47 ways as a sum of consecutive naturals, for example, 4273835 + ... + 4275365.

It is an arithmetic number, because the mean of its divisors is an integer number (90828450).

Almost surely, 2^6544412600 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 6544412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719531200).

6544412600 is an abundant number, since it is smaller than the sum of its proper divisors (10894649800).

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

6544412600 is a wasteful number, since it uses less digits than its factorization.

6544412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 6544412600 is about 80897.5438440500. The cubic root of 6544412600 is about 1870.4964604044.

The spelling of 6544412600 in words is "six billion, five hundred forty-four million, four hundred twelve thousand, six hundred".