9704240000 has 640 divisors, whose sum is σ = 31405946880. Its totient is φ = 2903040000.

The previous prime is 9704239997. The next prime is 9704240003. The reversal of 9704240000 is 424079.

It is an interprime number because it is at equal distance from previous prime (9704239997) and next prime (9704240003).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×9704240000⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9704240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225679979 + ... + 225680021.

It is an arithmetic number, because the mean of its divisors is an integer number (49071792).

Almost surely, 2^9704240000 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 9704240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702973440).

9704240000 is an abundant number, since it is smaller than the sum of its proper divisors (21701706880).

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

9704240000 is a wasteful number, since it uses less digits than its factorization.

9704240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 9704240000 is about 98510.1010049223. The cubic root of 9704240000 is about 2132.9819299671.

Adding to 9704240000 its reverse (424079), we get a palindrome (9704664079).

The spelling of 9704240000 in words is "nine billion, seven hundred four million, two hundred forty thousand".