6578008668 has 216 divisors, whose sum is σ = 21564641280. Its totient is φ = 1653220800.

The previous prime is 6578008651. The next prime is 6578008669. The reversal of 6578008668 is 8668008756.

6578008668 is a `hidden beast` number, since 6 + 578 + 0 + 0 + 8 + 6 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6578008669) 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 71 ways as a sum of consecutive naturals, for example, 941773 + ... + 948731.

Almost surely, 2^6578008668 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 6578008668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782320640).

6578008668 is an abundant number, since it is smaller than the sum of its proper divisors (14986632612).

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

6578008668 is a wasteful number, since it uses less digits than its factorization.

6578008668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 6578008668 is about 81104.9238209370. The cubic root of 6578008668 is about 1873.6917611249.

The spelling of 6578008668 in words is "six billion, five hundred seventy-eight million, eight thousand, six hundred sixty-eight".