6527545728 has 128 divisors (see below), whose sum is σ = 19737734400. Its totient is φ = 1892014080.

The previous prime is 6527545711. The next prime is 6527545733. The reversal of 6527545728 is 8275457256.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6527545728² = 85217706462262099968, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63558 + ... + 130746.

It is an arithmetic number, because the mean of its divisors is an integer number (154201050).

Almost surely, 2^6527545728 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 6527545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868867200).

6527545728 is an abundant number, since it is smaller than the sum of its proper divisors (13210188672).

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

6527545728 is a wasteful number, since it uses less digits than its factorization.

6527545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67240 (or 67228 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 51.

The square root of 6527545728 is about 80793.2282310838. The cubic root of 6527545728 is about 1868.8881384550. Note that the first 3 decimals are identical.

It can be divided in two parts, 6527 and 545728, that added together give a palindrome (552255).

The spelling of 6527545728 in words is "six billion, five hundred twenty-seven million, five hundred forty-five thousand, seven hundred twenty-eight".