9720557600 has 72 divisors (see below), whose sum is σ = 25555747140. Its totient is φ = 3589125120.

The previous prime is 9720557593. The next prime is 9720557603. The reversal of 9720557600 is 67550279.

It can be written as a sum of positive squares in 6 ways, for example, as 304572304 + 9415985296 = 17452^2 + 97036^2 .

It is not an unprimeable number, because it can be changed into a prime (9720557603) 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 11 ways as a sum of consecutive naturals, for example, 456935 + ... + 477734.

Almost surely, 2^9720557600 is an apocalyptic number.

It is an amenable number.

9720557600 is an abundant number, since it is smaller than the sum of its proper divisors (15835189540).

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

9720557600 is a wasteful number, since it uses less digits than its factorization.

9720557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934702 (or 934689 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 9720557600 is about 98592.8881816533. Note that the first 3 decimals coincide. The cubic root of 9720557600 is about 2134.1767910435.

The spelling of 9720557600 in words is "nine billion, seven hundred twenty million, five hundred fifty-seven thousand, six hundred".