9729460800 has 420 divisors, whose sum is σ = 36747721780. Its totient is φ = 2523156480.

The previous prime is 9729460771. The next prime is 9729460817. The reversal of 9729460800 is 80649279.

It is a happy number.

9729460800 is a `hidden beast` number, since 97 + 29 + 460 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1719926784 + 8009534016 = 41472^2 + 89496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4794186 + ... + 4796214.

Almost surely, 2^9729460800 is an apocalyptic number.

9729460800 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 9729460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373860890).

9729460800 is an abundant number, since it is smaller than the sum of its proper divisors (27018260980).

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

9729460800 is a wasteful number, since it uses less digits than its factorization.

9729460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9729460800 is about 98638.0291773918. The cubic root of 9729460800 is about 2134.8281667306.

The spelling of 9729460800 in words is "nine billion, seven hundred twenty-nine million, four hundred sixty thousand, eight hundred".