9729475640 has 128 divisors (see below), whose sum is σ = 24136704000. Its totient is φ = 3517291008.

The previous prime is 9729475619. The next prime is 9729475667. The reversal of 9729475640 is 465749279.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1250081 + ... + 1257839.

It is an arithmetic number, because the mean of its divisors is an integer number (188568000).

Almost surely, 2^9729475640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9729475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068352000).

9729475640 is an abundant number, since it is smaller than the sum of its proper divisors (14407228360).

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

9729475640 is a wasteful number, since it uses less digits than its factorization.

9729475640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The square root of 9729475640 is about 98638.1044018994. The cubic root of 9729475640 is about 2134.8292521225.

The spelling of 9729475640 in words is "nine billion, seven hundred twenty-nine million, four hundred seventy-five thousand, six hundred forty".