6364416560 has 80 divisors (see below), whose sum is σ = 15801488640. Its totient is φ = 2378664960.

The previous prime is 6364416521. The next prime is 6364416571. The reversal of 6364416560 is 656144636.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27674 + ... + 116166.

It is an arithmetic number, because the mean of its divisors is an integer number (197518608).

Almost surely, 2^6364416560 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 6364416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900744320).

6364416560 is an abundant number, since it is smaller than the sum of its proper divisors (9437072080).

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

6364416560 is a wasteful number, since it uses less digits than its factorization.

6364416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88566 (or 88560 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 6364416560 is about 79777.2935113745. The cubic root of 6364416560 is about 1853.1882262505.

The spelling of 6364416560 in words is "six billion, three hundred sixty-four million, four hundred sixteen thousand, five hundred sixty".