1632400000 has 384 divisors, whose sum is σ = 5163419520. Its totient is φ = 499200000.

The previous prime is 1632399941. The next prime is 1632400019. The reversal of 1632400000 is 42361.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 30799974 + ... + 30800026.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^1632400000 is an apocalyptic number.

1632400000 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 1632400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581709760).

1632400000 is an abundant number, since it is smaller than the sum of its proper divisors (3531019520).

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

1632400000 is an frugal number, since it uses more digits than its factorization.

1632400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1632400000 is about 40402.9701878463. The cubic root of 1632400000 is about 1177.4492444949.

Adding to 1632400000 its reverse (42361), we get a palindrome (1632442361).

The spelling of 1632400000 in words is "one billion, six hundred thirty-two million, four hundred thousand".