6006563808 has 96 divisors (see below), whose sum is σ = 18266685696. Its totient is φ = 1692638208.

The previous prime is 6006563779. The next prime is 6006563821. The reversal of 6006563808 is 8083656006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6006563808.

It is a congruent number.

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, 12166 + ... + 110277.

It is an arithmetic number, because the mean of its divisors is an integer number (190277976).

Almost surely, 2^6006563808 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 6006563808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133342848).

6006563808 is an abundant number, since it is smaller than the sum of its proper divisors (12260121888).

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

6006563808 is a wasteful number, since it uses less digits than its factorization.

6006563808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122536 (or 122528 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6006563808 is about 77502.0245412983. The cubic root of 6006563808 is about 1817.7829752760.

The spelling of 6006563808 in words is "six billion, six million, five hundred sixty-three thousand, eight hundred eight".