6528636672 has 144 divisors (see below), whose sum is σ = 17880912000. Its totient is φ = 2113785856.

The previous prime is 6528636623. The next prime is 6528636679. The reversal of 6528636672 is 2766368256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6528636679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4354579 + ... + 4356077.

It is an arithmetic number, because the mean of its divisors is an integer number (124173000).

Almost surely, 2^6528636672 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 6528636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940456000).

6528636672 is an abundant number, since it is smaller than the sum of its proper divisors (11352275328).

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

6528636672 is a wasteful number, since it uses less digits than its factorization.

6528636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 6528636672 is about 80799.9794059380. The cubic root of 6528636672 is about 1868.9922479633.

The spelling of 6528636672 in words is "six billion, five hundred twenty-eight million, six hundred thirty-six thousand, six hundred seventy-two".