6528640000 has 165 divisors, whose sum is σ = 16471478221. Its totient is φ = 2585600000.

The previous prime is 6528639983. The next prime is 6528640009. The reversal of 6528640000 is 468256.

The square root of 6528640000 is 80800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1408951296 + 5119688704 = 37536^2 + 71552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6528640009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64639950 + ... + 64640050.

Almost surely, 2^6528640000 is an apocalyptic number.

6528640000 is the 80800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6528640000

6528640000 is an abundant number, since it is smaller than the sum of its proper divisors (9942838221).

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

6528640000 is an frugal number, since it uses more digits than its factorization.

6528640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 6528640000 is about 1868.9925655388.

The spelling of 6528640000 in words is "six billion, five hundred twenty-eight million, six hundred forty thousand".