6653864448 has 960 divisors, whose sum is σ = 26869708800. Its totient is φ = 1602478080.

The previous prime is 6653864431. The next prime is 6653864449. The reversal of 6653864448 is 8444683566.

6653864448 is a `hidden beast` number, since 6 + 6 + 538 + 64 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6653864394 and 6653864403.

It is not an unprimeable number, because it can be changed into a prime (6653864449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141571561 + ... + 141571607.

It is an arithmetic number, because the mean of its divisors is an integer number (27989280).

Almost surely, 2^6653864448 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 6653864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400).

6653864448 is an abundant number, since it is smaller than the sum of its proper divisors (20215844352).

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

6653864448 is a wasteful number, since it uses less digits than its factorization.

6653864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 6653864448 is about 81571.2231611124. The cubic root of 6653864448 is about 1880.8665508728.

The spelling of 6653864448 in words is "six billion, six hundred fifty-three million, eight hundred sixty-four thousand, four hundred forty-eight".