6327632640 has 216 divisors, whose sum is σ = 23508984240. Its totient is φ = 1446273024.

The previous prime is 6327632639. The next prime is 6327632657. The reversal of 6327632640 is 462367236.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171346 + ... + 204974.

It is an arithmetic number, because the mean of its divisors is an integer number (108837890).

Almost surely, 2^6327632640 is an apocalyptic number.

6327632640 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 6327632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754492120).

6327632640 is an abundant number, since it is smaller than the sum of its proper divisors (17181351600).

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

6327632640 is a wasteful number, since it uses less digits than its factorization.

6327632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33667 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 6327632640 is about 79546.4181468908. The cubic root of 6327632640 is about 1849.6110835732.

Adding to 6327632640 its reverse (462367236), we get a palindrome (6789999876).

The spelling of 6327632640 in words is "six billion, three hundred twenty-seven million, six hundred thirty-two thousand, six hundred forty".