9720209952 has 432 divisors, whose sum is σ = 31957117920. Its totient is φ = 2895906816.

The previous prime is 9720209927. The next prime is 9720209957. The reversal of 9720209952 is 2599020279.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 9720209898 and 9720209907.

It is not an unprimeable number, because it can be changed into a prime (9720209957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69929499 + ... + 69929637.

It is an arithmetic number, because the mean of its divisors is an integer number (73974810).

Almost surely, 2^9720209952 is an apocalyptic number.

9720209952 is a gapful number since it is divisible by the number (92) 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 9720209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978558960).

9720209952 is an abundant number, since it is smaller than the sum of its proper divisors (22236907968).

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

9720209952 is a wasteful number, since it uses less digits than its factorization.

9720209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9720209952 is about 98591.1251178320. The cubic root of 9720209952 is about 2134.1513483625.

The spelling of 9720209952 in words is "nine billion, seven hundred twenty million, two hundred nine thousand, nine hundred fifty-two".