9742320000 has 480 divisors, whose sum is σ = 40057240080. Its totient is φ = 2225664000.

The previous prime is 9742319989. The next prime is 9742320017. The reversal of 9742320000 is 232479.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039034 + ... + 5040966.

Almost surely, 2^9742320000 is an apocalyptic number.

9742320000 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 9742320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028620040).

9742320000 is an abundant number, since it is smaller than the sum of its proper divisors (30314920080).

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

9742320000 is a wasteful number, since it uses less digits than its factorization.

9742320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 9742320000 is about 98703.1914377646. The cubic root of 9742320000 is about 2135.7682701100.

Adding to 9742320000 its reverse (232479), we get a palindrome (9742552479).

The spelling of 9742320000 in words is "nine billion, seven hundred forty-two million, three hundred twenty thousand".