6561756160 has 88 divisors (see below), whose sum is σ = 16038179496. Its totient is φ = 2575073280.

The previous prime is 6561756121. The next prime is 6561756161. The reversal of 6561756160 is 616571656.

It can be written as a sum of positive squares in 4 ways, for example, as 1863476224 + 4698279936 = 43168^2 + 68544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561756161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259270 + ... + 283450.

Almost surely, 2^6561756160 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 6561756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019089748).

6561756160 is an abundant number, since it is smaller than the sum of its proper divisors (9476423336).

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

6561756160 is a wasteful number, since it uses less digits than its factorization.

6561756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24259 (or 24241 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 6561756160 is about 81004.6675198411. The cubic root of 6561756160 is about 1872.1473573339.

The spelling of 6561756160 in words is "six billion, five hundred sixty-one million, seven hundred fifty-six thousand, one hundred sixty".