324628224000 has 384 divisors, whose sum is σ = 1136997388800. Its totient is φ = 82007654400.

The previous prime is 324628223993. The next prime is 324628224013. The reversal of 324628224000 is 422826423.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14580877 + ... + 14603123.

It is an arithmetic number, because the mean of its divisors is an integer number (2960930700).

Almost surely, 2^324628224000 is an apocalyptic number.

324628224000 is a gapful number since it is divisible by the number (30) 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 324628224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568498694400).

324628224000 is an abundant number, since it is smaller than the sum of its proper divisors (812369164800).

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

324628224000 is a wasteful number, since it uses less digits than its factorization.

324628224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22306 (or 22276 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

It can be divided in two parts, 324628 and 224000, that added together give a triangular number (548628 = T₁₀₄₇).

The spelling of 324628224000 in words is "three hundred twenty-four billion, six hundred twenty-eight million, two hundred twenty-four thousand".