6528657408 has 192 divisors, whose sum is σ = 21423991680. Its totient is φ = 1721696256.

The previous prime is 6528657383. The next prime is 6528657413. The reversal of 6528657408 is 8047568256.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553266 + ... + 564942.

It is an arithmetic number, because the mean of its divisors is an integer number (111583290).

Almost surely, 2^6528657408 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 6528657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711995840).

6528657408 is an abundant number, since it is smaller than the sum of its proper divisors (14895334272).

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

6528657408 is a wasteful number, since it uses less digits than its factorization.

6528657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The square root of 6528657408 is about 80800.1077227005. The cubic root of 6528657408 is about 1868.9942267012.

The spelling of 6528657408 in words is "six billion, five hundred twenty-eight million, six hundred fifty-seven thousand, four hundred eight".