6582664000 has 448 divisors, whose sum is σ = 19475988480. Its totient is φ = 2177280000.

The previous prime is 6582663979. The next prime is 6582664001. The reversal of 6582664000 is 4662856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6582664001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51831937 + ... + 51832063.

Almost surely, 2^6582664000 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 6582664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737994240).

6582664000 is an abundant number, since it is smaller than the sum of its proper divisors (12893324480).

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

6582664000 is a wasteful number, since it uses less digits than its factorization.

6582664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 6582664000 is about 81133.6181862981. The cubic root of 6582664000 is about 1874.1336679265.

It can be divided in two parts, 658266 and 4000, that added together give a palindrome (662266).

The spelling of 6582664000 in words is "six billion, five hundred eighty-two million, six hundred sixty-four thousand".