6560460824320 has 288 divisors, whose sum is σ = 17119423560960. Its totient is φ = 2394382663680.

The previous prime is 6560460824311. The next prime is 6560460824327. The reversal of 6560460824320 is 234280640656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6560460824327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544837500 + ... + 544849540.

It is an arithmetic number, because the mean of its divisors is an integer number (59442442920).

Almost surely, 2^{6560460824320} 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 6560460824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559711780480).

6560460824320 is an abundant number, since it is smaller than the sum of its proper divisors (10558962736640).

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

6560460824320 is a wasteful number, since it uses less digits than its factorization.

6560460824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12451 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 6560460824320 in words is "six trillion, five hundred sixty billion, four hundred sixty million, eight hundred twenty-four thousand, three hundred twenty".