9564480000 has 700 divisors, whose sum is σ = 36677195478. Its totient is φ = 2488320000.

The previous prime is 9564479923. The next prime is 9564480001. The reversal of 9564480000 is 844659.

9564480000 is a `hidden beast` number, since 9 + 5 + 644 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 283855104 + 9280624896 = 16848^2 + 96336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9564480001) by changing a digit.

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 69 ways as a sum of consecutive naturals, for example, 233279980 + ... + 233280020.

Almost surely, 2^9564480000 is an apocalyptic number.

9564480000 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 9564480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338597739).

9564480000 is an abundant number, since it is smaller than the sum of its proper divisors (27112715478).

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

9564480000 is an frugal number, since it uses more digits than its factorization.

9564480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9564480000 is about 97798.1594918841. The cubic root of 9564480000 is about 2122.6926743893.

The spelling of 9564480000 in words is "nine billion, five hundred sixty-four million, four hundred eighty thousand".