6528730560 has 224 divisors, whose sum is σ = 23394009600. Its totient is φ = 1528074240.

The previous prime is 6528730493. The next prime is 6528730591. The reversal of 6528730560 is 650378256.

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 31 ways as a sum of consecutive naturals, for example, 295581 + ... + 316899.

Almost surely, 2^6528730560 is an apocalyptic number.

6528730560 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 6528730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697004800).

6528730560 is an abundant number, since it is smaller than the sum of its proper divisors (16865279040).

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

6528730560 is a wasteful number, since it uses less digits than its factorization.

6528730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6528730560 is about 80800.5603940963. The cubic root of 6528730560 is about 1869.0012072153.

The spelling of 6528730560 in words is "six billion, five hundred twenty-eight million, seven hundred thirty thousand, five hundred sixty".