9720257547 has 144 divisors (see below), whose sum is σ = 18041081856. Its totient is φ = 4610390400.

The previous prime is 9720257527. The next prime is 9720257567. The reversal of 9720257547 is 7457520279.

It is a happy number.

9720257547 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9720257527) and next prime (9720257567).

It is not a de Polignac number, because 9720257547 - 2¹⁰ = 9720256523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9720257496 and 9720257505.

It is not an unprimeable number, because it can be changed into a prime (9720257527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29366172 + ... + 29366502.

Almost surely, 2^9720257547 is an apocalyptic number.

9720257547 is a deficient number, since it is larger than the sum of its proper divisors (8320824309).

9720257547 is a wasteful number, since it uses less digits than its factorization.

9720257547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The square root of 9720257547 is about 98591.3664932179. The cubic root of 9720257547 is about 2134.1548316469.

The spelling of 9720257547 in words is "nine billion, seven hundred twenty million, two hundred fifty-seven thousand, five hundred forty-seven".