9785664580 has 48 divisors (see below), whose sum is σ = 20780597376. Its totient is φ = 3870397440.

The previous prime is 9785664557. The next prime is 9785664583. The reversal of 9785664580 is 854665879.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9785664583) 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 15 ways as a sum of consecutive naturals, for example, 3581815 + ... + 3584545.

It is an arithmetic number, because the mean of its divisors is an integer number (432929112).

Almost surely, 2^9785664580 is an apocalyptic number.

It is an amenable number.

9785664580 is an abundant number, since it is smaller than the sum of its proper divisors (10994932796).

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

9785664580 is a wasteful number, since it uses less digits than its factorization.

9785664580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The square root of 9785664580 is about 98922.5180633813. The cubic root of 9785664580 is about 2138.9310015953.

The spelling of 9785664580 in words is "nine billion, seven hundred eighty-five million, six hundred sixty-four thousand, five hundred eighty".