9480639168000 has 6720 divisors, whose sum is σ = 50110159619520. Its totient is φ = 1755758592000.

The previous prime is 9480639167983. The next prime is 9480639168071. The reversal of 9480639168000 is 8619360849.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 326918591986 + ... + 326918592014.

It is an arithmetic number, because the mean of its divisors is an integer number (7456868991).

Almost surely, 2^{9480639168000} is an apocalyptic number.

9480639168000 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 9480639168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055079809760).

9480639168000 is an abundant number, since it is smaller than the sum of its proper divisors (40629520451520).

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

9480639168000 is a wasteful number, since it uses less digits than its factorization.

9480639168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 9480639168000 in words is "nine trillion, four hundred eighty billion, six hundred thirty-nine million, one hundred sixty-eight thousand".