9672229008000 has 2048 divisors, whose sum is σ = 40478905958400. Its totient is φ = 2252128665600.

The previous prime is 9672229007999. The next prime is 9672229008049. The reversal of 9672229008000 is 8009222769.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13304303637 + ... + 13304304363.

It is an arithmetic number, because the mean of its divisors is an integer number (19765090800).

Almost surely, 2^{9672229008000} is an apocalyptic number.

9672229008000 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 9672229008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239452979200).

9672229008000 is an abundant number, since it is smaller than the sum of its proper divisors (30806676950400).

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

9672229008000 is a wasteful number, since it uses less digits than its factorization.

9672229008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 9672229008000 in words is "nine trillion, six hundred seventy-two billion, two hundred twenty-nine million, eight thousand".