6661884672 has 216 divisors, whose sum is σ = 19887547680. Its totient is φ = 2143272960.

The previous prime is 6661884659. The next prime is 6661884683. The reversal of 6661884672 is 2764881666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10296253 + ... + 10296899.

It is an arithmetic number, because the mean of its divisors is an integer number (92071980).

Almost surely, 2^6661884672 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 6661884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943773840).

6661884672 is an abundant number, since it is smaller than the sum of its proper divisors (13225663008).

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

6661884672 is a wasteful number, since it uses less digits than its factorization.

6661884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6661884672 is about 81620.3692223945. The cubic root of 6661884672 is about 1881.6219471965.

The spelling of 6661884672 in words is "six billion, six hundred sixty-one million, eight hundred eighty-four thousand, six hundred seventy-two".