9736644960 has 384 divisors, whose sum is σ = 39747456000. Its totient is φ = 2225180160.

The previous prime is 9736644959. The next prime is 9736644977. The reversal of 9736644960 is 694466379.

9736644960 is a `hidden beast` number, since 97 + 3 + 6 + 64 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9736644897 and 9736644906.

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 63 ways as a sum of consecutive naturals, for example, 1478475 + ... + 1485045.

It is an arithmetic number, because the mean of its divisors is an integer number (103509000).

Almost surely, 2^9736644960 is an apocalyptic number.

9736644960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9736644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19873728000).

9736644960 is an abundant number, since it is smaller than the sum of its proper divisors (30010811040).

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

9736644960 is a wasteful number, since it uses less digits than its factorization.

9736644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 9736644960 is about 98674.4392434028. The cubic root of 9736644960 is about 2135.3534844260.

The spelling of 9736644960 in words is "nine billion, seven hundred thirty-six million, six hundred forty-four thousand, nine hundred sixty".