6563649960 has 288 divisors, whose sum is σ = 25119188640. Its totient is φ = 1481856768.

The previous prime is 6563649947. The next prime is 6563649979. The reversal of 6563649960 is 699463656.

It is a happy number.

6563649960 is a `hidden beast` number, since 65 + 6 + 36 + 499 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6563649897 and 6563649906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461879 + ... + 1466361.

It is an arithmetic number, because the mean of its divisors is an integer number (87219405).

Almost surely, 2^6563649960 is an apocalyptic number.

6563649960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6563649960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559594320).

6563649960 is an abundant number, since it is smaller than the sum of its proper divisors (18555538680).

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

6563649960 is a wasteful number, since it uses less digits than its factorization.

6563649960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 6563649960 is about 81016.3561264020. The cubic root of 6563649960 is about 1872.3274479248.

The spelling of 6563649960 in words is "six billion, five hundred sixty-three million, six hundred forty-nine thousand, nine hundred sixty".