9671622912000 has 1920 divisors, whose sum is σ = 43009409963520. Its totient is φ = 2113811251200.

The previous prime is 9671622911989. The next prime is 9671622912031. The reversal of 9671622912000 is 2192261769.

9671622912000 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 622 + 9 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3338494552 + ... + 3338497448.

It is an arithmetic number, because the mean of its divisors is an integer number (22400734356).

Almost surely, 2^{9671622912000} is an apocalyptic number.

9671622912000 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 9671622912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504704981760).

9671622912000 is an abundant number, since it is smaller than the sum of its proper divisors (33337787051520).

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

9671622912000 is a wasteful number, since it uses less digits than its factorization.

9671622912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 9671622912000 in words is "nine trillion, six hundred seventy-one billion, six hundred twenty-two million, nine hundred twelve thousand".