324640131984 has 1125 divisors, whose sum is σ = 1228919750817. Its totient is φ = 82703545344.

The previous prime is 324640131979. The next prime is 324640132031. The reversal of 324640131984 is 489131046423.

The square root of 324640131984 is 569772.

It is a perfect power (a square), and thus also a powerful number.

324640131984 is a `hidden beast` number, since 324 + 6 + 4 + 0 + 1 + 319 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 252747507600 + 71892624384 = 502740^2 + 268128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 17086322727 + ... + 17086322745.

Almost surely, 2^324640131984 is an apocalyptic number.

324640131984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

324640131984 is the 569772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324640131984

324640131984 is an abundant number, since it is smaller than the sum of its proper divisors (904279618833).

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

324640131984 is an equidigital number, since it uses as much as digits as its factorization.

324640131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 324640131984 in words is "three hundred twenty-four billion, six hundred forty million, one hundred thirty-one thousand, nine hundred eighty-four".