9945504000 has 432 divisors, whose sum is σ = 37141278720. Its totient is φ = 2650060800.

The previous prime is 9945503987. The next prime is 9945504017. The reversal of 9945504000 is 4055499.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7775361 + ... + 7776639.

Almost surely, 2^9945504000 is an apocalyptic number.

9945504000 is a gapful number since it is divisible by the number (90) 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 9945504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570639360).

9945504000 is an abundant number, since it is smaller than the sum of its proper divisors (27195774720).

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

9945504000 is an equidigital number, since it uses as much as digits as its factorization.

9945504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9945504000 is about 99727.1477582709. The cubic root of 9945504000 is about 2150.5139568117.

Adding to 9945504000 its reverse (4055499), we get a palindrome (9949559499).

The spelling of 9945504000 in words is "nine billion, nine hundred forty-five million, five hundred four thousand".