320869121664 has 192 divisors, whose sum is σ = 1054760408640. Its totient is φ = 84624703488.

The previous prime is 320869121641. The next prime is 320869121669. The reversal of 320869121664 is 466121968023.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (320869121669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101104 + ... + 807440.

It is an arithmetic number, because the mean of its divisors is an integer number (5493543795).

Almost surely, 2^320869121664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320869121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527380204320).

320869121664 is an abundant number, since it is smaller than the sum of its proper divisors (733891286976).

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

320869121664 is a wasteful number, since it uses less digits than its factorization.

320869121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706387 (or 706362 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 320869121664 in words is "three hundred twenty billion, eight hundred sixty-nine million, one hundred twenty-one thousand, six hundred sixty-four".