1632320000 has 100 divisors (see below), whose sum is σ = 4076309226. Its totient is φ = 652800000.

The previous prime is 1632319993. The next prime is 1632320057. The reversal of 1632320000 is 232361.

It can be written as a sum of positive squares in 5 ways, for example, as 119421184 + 1512898816 = 10928^2 + 38896^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 9 ways as a sum of consecutive naturals, for example, 317450 + ... + 322550.

Almost surely, 2^1632320000 is an apocalyptic number.

1632320000 is a gapful number since it is divisible by the number (10) 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 1632320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038154613).

1632320000 is an abundant number, since it is smaller than the sum of its proper divisors (2443989226).

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

1632320000 is an frugal number, since it uses more digits than its factorization.

1632320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1632320000 is about 40401.9801494927. The cubic root of 1632320000 is about 1177.4300095283.

Adding to 1632320000 its reverse (232361), we get a palindrome (1632552361).

The spelling of 1632320000 in words is "one billion, six hundred thirty-two million, three hundred twenty thousand".