6509403648 has 400 divisors, whose sum is σ = 22340355840. Its totient is φ = 1866240000.

The previous prime is 6509403647. The next prime is 6509403671. The reversal of 6509403648 is 8463049056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509403643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667273 + ... + 8668023.

Almost surely, 2^6509403648 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 6509403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170177920).

6509403648 is an abundant number, since it is smaller than the sum of its proper divisors (15830952192).

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

6509403648 is a wasteful number, since it uses less digits than its factorization.

6509403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6509403648 is about 80680.8753546960. The cubic root of 6509403648 is about 1867.1551247798.

The spelling of 6509403648 in words is "six billion, five hundred nine million, four hundred three thousand, six hundred forty-eight".