9660424752000 has 1536 divisors, whose sum is σ = 40063870080000. Its totient is φ = 2206144512000.

The previous prime is 9660424751983. The next prime is 9660424752067. The reversal of 9660424752000 is 2574240669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5989103194 + ... + 5989104806.

It is an arithmetic number, because the mean of its divisors is an integer number (26083248750).

Almost surely, 2^{9660424752000} is an apocalyptic number.

9660424752000 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 9660424752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031935040000).

9660424752000 is an abundant number, since it is smaller than the sum of its proper divisors (30403445328000).

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

9660424752000 is a wasteful number, since it uses less digits than its factorization.

9660424752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 9660424752000 its reverse (2574240669), we get a palindrome (9662998992669).

The spelling of 9660424752000 in words is "nine trillion, six hundred sixty billion, four hundred twenty-four million, seven hundred fifty-two thousand".