9642240000 has 720 divisors, whose sum is σ = 37252575360. Its totient is φ = 2488320000.

The previous prime is 9642239983. The next prime is 9642240001. The reversal of 9642240000 is 422469.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9642240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311039985 + ... + 311040015.

It is an arithmetic number, because the mean of its divisors is an integer number (51739688).

Almost surely, 2^9642240000 is an apocalyptic number.

9642240000 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 9642240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626287680).

9642240000 is an abundant number, since it is smaller than the sum of its proper divisors (27610335360).

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

9642240000 is an frugal number, since it uses more digits than its factorization.

9642240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9642240000 is about 98194.9082182982. The cubic root of 9642240000 is about 2128.4297095177.

Adding to 9642240000 its reverse (422469), we get a palindrome (9642662469).

The spelling of 9642240000 in words is "nine billion, six hundred forty-two million, two hundred forty thousand".