9067252992000 has 1536 divisors, whose sum is σ = 36485964103680. Its totient is φ = 1955266560000.

The previous prime is 9067252991987. The next prime is 9067252992019. The reversal of 9067252992000 is 2992527609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6832895337 + ... + 6832896663.

It is an arithmetic number, because the mean of its divisors is an integer number (23753882880).

Almost surely, 2^{9067252992000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9067252992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242982051840).

9067252992000 is an abundant number, since it is smaller than the sum of its proper divisors (27418711111680).

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

9067252992000 is a wasteful number, since it uses less digits than its factorization.

9067252992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 9067252992000 in words is "nine trillion, sixty-seven billion, two hundred fifty-two million, nine hundred ninety-two thousand".