320969560800 has 864 divisors, whose sum is σ = 1328584965120. Its totient is φ = 66808627200.

The previous prime is 320969560787. The next prime is 320969560823. The reversal of 320969560800 is 8065969023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 320969560800.

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 143 ways as a sum of consecutive naturals, for example, 61972611 + ... + 61977789.

It is an arithmetic number, because the mean of its divisors is an integer number (1537714080).

Almost surely, 2^320969560800 is an apocalyptic number.

320969560800 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 320969560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664292482560).

320969560800 is an abundant number, since it is smaller than the sum of its proper divisors (1007615404320).

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

320969560800 is a wasteful number, since it uses less digits than its factorization.

320969560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 320969560800 in words is "three hundred twenty billion, nine hundred sixty-nine million, five hundred sixty thousand, eight hundred".