6731632000 has 256 divisors, whose sum is σ = 17522930880. Its totient is φ = 2569420800.

The previous prime is 6731631937. The next prime is 6731632007. The reversal of 6731632000 is 2361376.

It is a self number, because there is not a number n which added to its sum of digits gives 6731632000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6731632007) 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 31 ways as a sum of consecutive naturals, for example, 49135932 + ... + 49136068.

Almost surely, 2^6731632000 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 6731632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761465440).

6731632000 is an abundant number, since it is smaller than the sum of its proper divisors (10791298880).

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

6731632000 is a wasteful number, since it uses less digits than its factorization.

6731632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 6731632000 is about 82046.5233876488. The cubic root of 6731632000 is about 1888.1657783188.

Adding to 6731632000 its reverse (2361376), we get a palindrome (6733993376).

The spelling of 6731632000 in words is "six billion, seven hundred thirty-one million, six hundred thirty-two thousand".