9066542284800 has 4860 divisors, whose sum is σ = 46281449266416. Its totient is φ = 1739037081600.

The previous prime is 9066542284783. The next prime is 9066542284829. The reversal of 9066542284800 is 84822456609.

9066542284800 is a `hidden beast` number, since 9 + 0 + 6 + 65 + 422 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

It is a super-2 number, since 2×9066542284800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 323 ways as a sum of consecutive naturals, for example, 697426329594 + ... + 697426329606.

Almost surely, 2^{9066542284800} is an apocalyptic number.

9066542284800 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 9066542284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140724633208).

9066542284800 is an abundant number, since it is smaller than the sum of its proper divisors (37214906981616).

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

9066542284800 is a wasteful number, since it uses less digits than its factorization.

9066542284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 9066542284800 in words is "nine trillion, sixty-six billion, five hundred forty-two million, two hundred eighty-four thousand, eight hundred".