323640616320 has 768 divisors, whose sum is σ = 1324387584000. Its totient is φ = 71292469248.

The previous prime is 323640616297. The next prime is 323640616333. The reversal of 323640616320 is 23616046323.

323640616320 is a `hidden beast` number, since 3 + 2 + 3 + 6 + 4 + 0 + 616 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 126966406 + ... + 126968954.

It is an arithmetic number, because the mean of its divisors is an integer number (1724463000).

Almost surely, 2^323640616320 is an apocalyptic number.

323640616320 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 323640616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662193792000).

323640616320 is an abundant number, since it is smaller than the sum of its proper divisors (1000746967680).

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

323640616320 is a wasteful number, since it uses less digits than its factorization.

323640616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 323640616320 in words is "three hundred twenty-three billion, six hundred forty million, six hundred sixteen thousand, three hundred twenty".