9704448000 has 784 divisors, whose sum is σ = 39108055896. Its totient is φ = 2388787200.

The previous prime is 9704447993. The next prime is 9704448007. The reversal of 9704448000 is 8444079.

It is an interprime number because it is at equal distance from previous prime (9704447993) and next prime (9704448007).

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 8387629056 = 36288^2 + 91584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9704448007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 746495994 + ... + 746496006.

Almost surely, 2^9704448000 is an apocalyptic number.

9704448000 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 9704448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554027948).

9704448000 is an abundant number, since it is smaller than the sum of its proper divisors (29403607896).

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

9704448000 is an frugal number, since it uses more digits than its factorization.

9704448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9704448000 is about 98511.1567285655. The cubic root of 9704448000 is about 2132.9971692533.

The spelling of 9704448000 in words is "nine billion, seven hundred four million, four hundred forty-eight thousand".