9467633634816 has 320 divisors, whose sum is σ = 30112301260800. Its totient is φ = 2584550301696.

The previous prime is 9467633634791. The next prime is 9467633634871. The reversal of 9467633634816 is 6184363367649.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227244195 + ... + 227285853.

It is an arithmetic number, because the mean of its divisors is an integer number (94100941440).

Almost surely, 2^{9467633634816} is an apocalyptic number.

9467633634816 is a gapful number since it is divisible by the number (96) 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 9467633634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056150630400).

9467633634816 is an abundant number, since it is smaller than the sum of its proper divisors (20644667625984).

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

9467633634816 is a wasteful number, since it uses less digits than its factorization.

9467633634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629 (or 42613 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 66.

The spelling of 9467633634816 in words is "nine trillion, four hundred sixty-seven billion, six hundred thirty-three million, six hundred thirty-four thousand, eight hundred sixteen".