641632000 has 72 divisors (see below), whose sum is σ = 1598465232. Its totient is φ = 256640000.

The previous prime is 641631983. The next prime is 641632007. The reversal of 641632000 is 236146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641632007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21975 + ... + 42025.

It is an arithmetic number, because the mean of its divisors is an integer number (22200906).

Almost surely, 2^641632000 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 641632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799232616).

641632000 is an abundant number, since it is smaller than the sum of its proper divisors (956833232).

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

641632000 is an equidigital number, since it uses as much as digits as its factorization.

641632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20082 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 641632000 is about 25330.4559769460. The cubic root of 641632000 is about 862.5057620563.

Adding to 641632000 its reverse (236146), we get a palindrome (641868146).

It can be divided in two parts, 6416 and 32000, that added together give a 4-th power (38416 = 14⁴).

The spelling of 641632000 in words is "six hundred forty-one million, six hundred thirty-two thousand".