9740464013 has 16 divisors (see below), whose sum is σ = 11444146560. Its totient is φ = 8116281600.

The previous prime is 9740464003. The next prime is 9740464031. The reversal of 9740464013 is 3104640479.

9740464013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9740464013 - 2¹⁰ = 9740462989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740464003) 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 15 ways as a sum of consecutive naturals, for example, 20258 + ... + 141036.

It is an arithmetic number, because the mean of its divisors is an integer number (715259160).

Almost surely, 2^9740464013 is an apocalyptic number.

It is an amenable number.

9740464013 is a deficient number, since it is larger than the sum of its proper divisors (1703682547).

9740464013 is a wasteful number, since it uses less digits than its factorization.

9740464013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121108.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 9740464013 is about 98693.7891308263. The cubic root of 9740464013 is about 2135.6326347277.

The spelling of 9740464013 in words is "nine billion, seven hundred forty million, four hundred sixty-four thousand, thirteen".