6561215584 has 192 divisors, whose sum is σ = 17048102400. Its totient is φ = 2408140800.

The previous prime is 6561215581. The next prime is 6561215593. The reversal of 6561215584 is 4855121656.

It is a super-2 number, since 2×6561215584² = 86099099879448922112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6561215584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561215581) 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, 12593244 + ... + 12593764.

It is an arithmetic number, because the mean of its divisors is an integer number (88792200).

Almost surely, 2^6561215584 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 6561215584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524051200).

6561215584 is an abundant number, since it is smaller than the sum of its proper divisors (10486886816).

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

6561215584 is a wasteful number, since it uses less digits than its factorization.

6561215584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its digits is 288000, while the sum is 43.

The square root of 6561215584 is about 81001.3307545006. The cubic root of 6561215584 is about 1872.0959449936.

The spelling of 6561215584 in words is "six billion, five hundred sixty-one million, two hundred fifteen thousand, five hundred eighty-four".