9000643276800 has 3120 divisors, whose sum is σ = 41293648704000. Its totient is φ = 1891919462400.

The previous prime is 9000643276777. The next prime is 9000643276813. The reversal of 9000643276800 is 86723460009.

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45229363101 + ... + 45229363299.

Almost surely, 2^{9000643276800} is an apocalyptic number.

9000643276800 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 9000643276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646824352000).

9000643276800 is an abundant number, since it is smaller than the sum of its proper divisors (32293005427200).

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

9000643276800 is a wasteful number, since it uses less digits than its factorization.

9000643276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 9000643276800 in words is "nine trillion, six hundred forty-three million, two hundred seventy-six thousand, eight hundred".