6653509632 has 384 divisors, whose sum is σ = 24045577920. Its totient is φ = 1722286080.

The previous prime is 6653509579. The next prime is 6653509637. The reversal of 6653509632 is 2369053566.

6653509632 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 5 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6653509637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22708078 + ... + 22708370.

Almost surely, 2^6653509632 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 6653509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022788960).

6653509632 is an abundant number, since it is smaller than the sum of its proper divisors (17392068288).

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

6653509632 is a wasteful number, since it uses less digits than its factorization.

6653509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 6653509632 is about 81569.0482474817. The cubic root of 6653509632 is about 1880.8331180001.

The spelling of 6653509632 in words is "six billion, six hundred fifty-three million, five hundred nine thousand, six hundred thirty-two".