6632064000 has 704 divisors, whose sum is σ = 26057491200. Its totient is φ = 1658880000.

The previous prime is 6632063993. The next prime is 6632064017. The reversal of 6632064000 is 4602366.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65663950 + ... + 65664050.

Almost surely, 2^6632064000 is an apocalyptic number.

6632064000 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 6632064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028745600).

6632064000 is an abundant number, since it is smaller than the sum of its proper divisors (19425427200).

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

6632064000 is a wasteful number, since it uses less digits than its factorization.

6632064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6632064000 is about 81437.4852263993. The cubic root of 6632064000 is about 1878.8101721359.

Adding to 6632064000 its reverse (4602366), we get a palindrome (6636666366).

The spelling of 6632064000 in words is "six billion, six hundred thirty-two million, sixty-four thousand".