9736145760 has 96 divisors (see below), whose sum is σ = 33456955392. Its totient is φ = 2360276480.

The previous prime is 9736145759. The next prime is 9736145791. The reversal of 9736145760 is 675416379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 916704 + ... + 927263.

It is an arithmetic number, because the mean of its divisors is an integer number (348509952).

Almost surely, 2^9736145760 is an apocalyptic number.

It is an amenable number.

9736145760 is an abundant number, since it is smaller than the sum of its proper divisors (23720809632).

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

9736145760 is a wasteful number, since it uses less digits than its factorization.

9736145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843996 (or 1843988 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 9736145760 is about 98671.9096805165. The cubic root of 9736145760 is about 2135.3169904495.

The spelling of 9736145760 in words is "nine billion, seven hundred thirty-six million, one hundred forty-five thousand, seven hundred sixty".