9723760704 has 252 divisors, whose sum is σ = 32631790464. Its totient is φ = 2760242688.

The previous prime is 9723760643. The next prime is 9723760727. The reversal of 9723760704 is 4070673279.

It is a happy number.

9723760704 is a `hidden beast` number, since 9 + 7 + 2 + 37 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 9723760704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4712377 + ... + 4714439.

It is an arithmetic number, because the mean of its divisors is an integer number (129491232).

Almost surely, 2^9723760704 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 9723760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315895232).

9723760704 is an abundant number, since it is smaller than the sum of its proper divisors (22908029760).

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

9723760704 is a wasteful number, since it uses less digits than its factorization.

9723760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 9723760704 is about 98609.1309362373. The cubic root of 9723760704 is about 2134.4111822438.

The spelling of 9723760704 in words is "nine billion, seven hundred twenty-three million, seven hundred sixty thousand, seven hundred four".