324129928320 has 1024 divisors, whose sum is σ = 1308524544000. Its totient is φ = 75107450880.

The previous prime is 324129928313. The next prime is 324129928333. The reversal of 324129928320 is 23829921423.

324129928320 is a `hidden beast` number, since 32 + 4 + 1 + 299 + 2 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 700064409 + ... + 700064871.

It is an arithmetic number, because the mean of its divisors is an integer number (1277856000).

Almost surely, 2^324129928320 is an apocalyptic number.

324129928320 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 324129928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654262272000).

324129928320 is an abundant number, since it is smaller than the sum of its proper divisors (984394615680).

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

324129928320 is a wasteful number, since it uses less digits than its factorization.

324129928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 324129928320 in words is "three hundred twenty-four billion, one hundred twenty-nine million, nine hundred twenty-eight thousand, three hundred twenty".