9409768704 has 432 divisors, whose sum is σ = 32864576640. Its totient is φ = 2688505344.

The previous prime is 9409768679. The next prime is 9409768729. The reversal of 9409768704 is 4078679049.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (9409768679) and next prime (9409768729).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344252669 + ... + 1344252675.

Almost surely, 2^9409768704 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 9409768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432288320).

9409768704 is an abundant number, since it is smaller than the sum of its proper divisors (23454807936).

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

9409768704 is an frugal number, since it uses more digits than its factorization.

9409768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9409768704 is about 97003.9623108252. The cubic root of 9409768704 is about 2111.1851195165.

The spelling of 9409768704 in words is "nine billion, four hundred nine million, seven hundred sixty-eight thousand, seven hundred four".