9720000000 has 480 divisors, whose sum is σ = 36364360032. Its totient is φ = 2592000000.

The previous prime is 9719999959. The next prime is 9720000007. The reversal of 9720000000 is 279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720000007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943999998 + ... + 1944000002.

Almost surely, 2^9720000000 is an apocalyptic number.

9720000000 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 9720000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182180016).

9720000000 is an abundant number, since it is smaller than the sum of its proper divisors (26644360032).

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

9720000000 is an frugal number, since it uses more digits than its factorization.

9720000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9720000000 is about 98590.0603509299. The cubic root of 9720000000 is about 2134.1359826940.

Adding to 9720000000 its reverse (279), we get a palindrome (9720000279).

The spelling of 9720000000 in words is "nine billion, seven hundred twenty million", and thus it is an aban number.