6518664000 has 448 divisors, whose sum is σ = 24230868480. Its totient is φ = 1715558400.

The previous prime is 6518663953. The next prime is 6518664011. The reversal of 6518664000 is 4668156.

6518664000 is a `hidden beast` number, since 6 + 5 + 1 + 8 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22247854 + ... + 22248146.

It is an arithmetic number, because the mean of its divisors is an integer number (54086760).

Almost surely, 2^6518664000 is an apocalyptic number.

6518664000 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 6518664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115434240).

6518664000 is an abundant number, since it is smaller than the sum of its proper divisors (17712204480).

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

6518664000 is a wasteful number, since it uses less digits than its factorization.

6518664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6518664000 is about 80738.2437262540. The cubic root of 6518664000 is about 1868.0401173165.

The spelling of 6518664000 in words is "six billion, five hundred eighteen million, six hundred sixty-four thousand".