6466880736 has 288 divisors, whose sum is σ = 20316441600. Its totient is φ = 1943377920.

The previous prime is 6466880713. The next prime is 6466880741. The reversal of 6466880736 is 6370886646.

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

It is a congruent number.

It is an unprimeable number.

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, 11365060 + ... + 11365628.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 2^6466880736 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 6466880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

6466880736 is an abundant number, since it is smaller than the sum of its proper divisors (13849560864).

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

6466880736 is a wasteful number, since it uses less digits than its factorization.

6466880736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6466880736 is about 80416.9182199865. The cubic root of 6466880736 is about 1863.0804867541.

The spelling of 6466880736 in words is "six billion, four hundred sixty-six million, eight hundred eighty thousand, seven hundred thirty-six".