323104616640 has 672 divisors, whose sum is σ = 1276114694400. Its totient is φ = 74330800128.

The previous prime is 323104616629. The next prime is 323104616663. The reversal of 323104616640 is 46616401323.

323104616640 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 0 + 4 + 6 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 323104616595 and 323104616604.

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, 94833817 + ... + 94837223.

It is an arithmetic number, because the mean of its divisors is an integer number (1898980200).

Almost surely, 2^323104616640 is an apocalyptic number.

323104616640 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 323104616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638057347200).

323104616640 is an abundant number, since it is smaller than the sum of its proper divisors (953010077760).

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

323104616640 is a wasteful number, since it uses less digits than its factorization.

323104616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 323104616640 in words is "three hundred twenty-three billion, one hundred four million, six hundred sixteen thousand, six hundred forty".