324079984736640 has 768 divisors, whose sum is σ = 1293453493151040. Its totient is φ = 73896689664000.

The previous prime is 324079984736597. The next prime is 324079984736671. The reversal of 324079984736640 is 46637489970423.

324079984736640 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 7 + 9 + 98 + 473 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1720066440 + ... + 1720254840.

Almost surely, 2^{324079984736640} is an apocalyptic number.

324079984736640 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 324079984736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646726746575520).

324079984736640 is an abundant number, since it is smaller than the sum of its proper divisors (969373508414400).

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

324079984736640 is a wasteful number, since it uses less digits than its factorization.

324079984736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190051 (or 190036 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 324079984736640 in words is "three hundred twenty-four trillion, seventy-nine billion, nine hundred eighty-four million, seven hundred thirty-six thousand, six hundred forty".