6601084672 has 144 divisors (see below), whose sum is σ = 16317987840. Its totient is φ = 2595188736.

The previous prime is 6601084631. The next prime is 6601084673. The reversal of 6601084672 is 2764801066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6601084673) 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 15 ways as a sum of consecutive naturals, for example, 4169193 + ... + 4170775.

It is an arithmetic number, because the mean of its divisors is an integer number (113319360).

Almost surely, 2^6601084672 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 6601084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

6601084672 is an abundant number, since it is smaller than the sum of its proper divisors (9716903168).

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

6601084672 is a wasteful number, since it uses less digits than its factorization.

6601084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 6601084672 is about 81247.0594667893. The cubic root of 6601084672 is about 1875.8802074798.

The spelling of 6601084672 in words is "six billion, six hundred one million, eighty-four thousand, six hundred seventy-two".