9745659828672 has 56 divisors (see below), whose sum is σ = 26040692589072. Its totient is φ = 3216389376000.

The previous prime is 9745659828637. The next prime is 9745659828677. The reversal of 9745659828672 is 2768289565479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9745659828677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251261029 + ... + 251299812.

It is an arithmetic number, because the mean of its divisors is an integer number (465012367662).

Almost surely, 2^{9745659828672} is an apocalyptic number.

It is an amenable number.

9745659828672 is an abundant number, since it is smaller than the sum of its proper divisors (16295032760400).

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

9745659828672 is a wasteful number, since it uses less digits than its factorization.

9745659828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502560957 (or 502560947 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 78.

The spelling of 9745659828672 in words is "nine trillion, seven hundred forty-five billion, six hundred fifty-nine million, eight hundred twenty-eight thousand, six hundred seventy-two".