6561278208 has 288 divisors, whose sum is σ = 20878233600. Its totient is φ = 2025990144.

The previous prime is 6561278201. The next prime is 6561278249. The reversal of 6561278208 is 8028721656.

6561278208 is a `hidden beast` number, since 6 + 5 + 612 + 7 + 8 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6561278201) 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 31 ways as a sum of consecutive naturals, for example, 6171885 + ... + 6172947.

Almost surely, 2^6561278208 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 6561278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439116800).

6561278208 is an abundant number, since it is smaller than the sum of its proper divisors (14316955392).

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

6561278208 is a wasteful number, since it uses less digits than its factorization.

6561278208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6561278208 is about 81001.7173151286. The cubic root of 6561278208 is about 1872.1019010933.

The spelling of 6561278208 in words is "six billion, five hundred sixty-one million, two hundred seventy-eight thousand, two hundred eight".