324727216128 has 576 divisors, whose sum is σ = 1164935116800. Its totient is φ = 85040824320.

The previous prime is 324727216127. The next prime is 324727216153. The reversal of 324727216128 is 821612727423.

324727216128 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 2 + 7 + 21 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324727216127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75993000 + ... + 75997272.

It is an arithmetic number, because the mean of its divisors is an integer number (2022456800).

Almost surely, 2^324727216128 is an apocalyptic number.

324727216128 is a gapful number since it is divisible by the number (38) 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 324727216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582467558400).

324727216128 is an abundant number, since it is smaller than the sum of its proper divisors (840207900672).

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

324727216128 is a wasteful number, since it uses less digits than its factorization.

324727216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4335 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 324727216128 in words is "three hundred twenty-four billion, seven hundred twenty-seven million, two hundred sixteen thousand, one hundred twenty-eight".