9489766809600 has 2592 divisors, whose sum is σ = 44467841376000. Its totient is φ = 1961990553600.

The previous prime is 9489766809563. The next prime is 9489766809631. The reversal of 9489766809600 is 69086679849.

9489766809600 is a `hidden beast` number, since 9 + 4 + 8 + 9 + 7 + 6 + 6 + 8 + 0 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47687270301 + ... + 47687270499.

It is an arithmetic number, because the mean of its divisors is an integer number (17155803000).

Almost surely, 2^{9489766809600} is an apocalyptic number.

9489766809600 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 9489766809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233920688000).

9489766809600 is an abundant number, since it is smaller than the sum of its proper divisors (34978074566400).

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

9489766809600 is a wasteful number, since it uses less digits than its factorization.

9489766809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 9489766809600 in words is "nine trillion, four hundred eighty-nine billion, seven hundred sixty-six million, eight hundred nine thousand, six hundred".