6544144640 has 432 divisors, whose sum is σ = 18790410240. Its totient is φ = 2176204800.

The previous prime is 6544144627. The next prime is 6544144643. The reversal of 6544144640 is 464414456.

It is a junction number, because it is equal to n+sod(n) for n = 6544144594 and 6544144603.

It is not an unprimeable number, because it can be changed into a prime (6544144643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139237097 + ... + 139237143.

It is an arithmetic number, because the mean of its divisors is an integer number (43496320).

Almost surely, 2^6544144640 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 6544144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395205120).

6544144640 is an abundant number, since it is smaller than the sum of its proper divisors (12246265600).

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

6544144640 is a wasteful number, since it uses less digits than its factorization.

6544144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 6544144640 is about 80895.8876581498. The cubic root of 6544144640 is about 1870.4709309896.

The spelling of 6544144640 in words is "six billion, five hundred forty-four million, one hundred forty-four thousand, six hundred forty".