9673612992000 has 1440 divisors, whose sum is σ = 36948048673536. Its totient is φ = 2430038016000.

The previous prime is 9673612991863. The next prime is 9673612992007. The reversal of 9673612992000 is 2992163769.

9673612992000 is a `hidden beast` number, since 96 + 7 + 3 + 61 + 299 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9673612992007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33015743854 + ... + 33015744146.

Almost surely, 2^{9673612992000} is an apocalyptic number.

9673612992000 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 9673612992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474024336768).

9673612992000 is an abundant number, since it is smaller than the sum of its proper divisors (27274435681536).

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

9673612992000 is a wasteful number, since it uses less digits than its factorization.

9673612992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 9673612992000 in words is "nine trillion, six hundred seventy-three billion, six hundred twelve million, nine hundred ninety-two thousand".