320646144000 has 1792 divisors, whose sum is σ = 1392289726464. Its totient is φ = 63700992000.

The previous prime is 320646143989. The next prime is 320646144043. The reversal of 320646144000 is 441646023.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8666111982 + ... + 8666112018.

It is an arithmetic number, because the mean of its divisors is an integer number (776947392).

Almost surely, 2^320646144000 is an apocalyptic number.

320646144000 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 320646144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696144863232).

320646144000 is an abundant number, since it is smaller than the sum of its proper divisors (1071643582464).

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

320646144000 is a wasteful number, since it uses less digits than its factorization.

320646144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 320646144000 in words is "three hundred twenty billion, six hundred forty-six million, one hundred forty-four thousand".