6561066000 has 320 divisors, whose sum is σ = 21936096000. Its totient is φ = 1686016000.

The previous prime is 6561065989. The next prime is 6561066007. The reversal of 6561066000 is 6601656.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6561066007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36653911 + ... + 36654089.

It is an arithmetic number, because the mean of its divisors is an integer number (68550300).

Almost surely, 2^6561066000 is an apocalyptic number.

6561066000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6561066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048000).

6561066000 is an abundant number, since it is smaller than the sum of its proper divisors (15375030000).

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

6561066000 is a wasteful number, since it uses less digits than its factorization.

6561066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6561066000 is about 81000.4074063828. The cubic root of 6561066000 is about 1872.0817180705.

Adding to 6561066000 its reverse (6601656), we get a palindrome (6567667656).

The spelling of 6561066000 in words is "six billion, five hundred sixty-one million, sixty-six thousand".