323880560640 has 1440 divisors, whose sum is σ = 1456672056840. Its totient is φ = 68223762432.

The previous prime is 323880560639. The next prime is 323880560671. The reversal of 323880560640 is 46065088323.

It is a happy number.

323880560640 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 80 + 560 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87824507904 + 236056052736 = 296352^2 + 485856^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528352974 + ... + 528353586.

Almost surely, 2^323880560640 is an apocalyptic number.

323880560640 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 323880560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728336028420).

323880560640 is an abundant number, since it is smaller than the sum of its proper divisors (1132791496200).

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

323880560640 is a wasteful number, since it uses less digits than its factorization.

323880560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 323880560640 in words is "three hundred twenty-three billion, eight hundred eighty million, five hundred sixty thousand, six hundred forty".