320689668096 has 720 divisors, whose sum is σ = 1149951231000. Its totient is φ = 85614133248.

The previous prime is 320689668017. The next prime is 320689668097. The reversal of 320689668096 is 690866986023.

320689668096 is a `hidden beast` number, since 320 + 68 + 96 + 6 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320689668097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4393009116 + ... + 4393009188.

Almost surely, 2^320689668096 is an apocalyptic number.

320689668096 is a gapful number since it is divisible by the number (36) 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 320689668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574975615500).

320689668096 is an abundant number, since it is smaller than the sum of its proper divisors (829261562904).

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

320689668096 is an frugal number, since it uses more digits than its factorization.

320689668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 320689668096 in words is "three hundred twenty billion, six hundred eighty-nine million, six hundred sixty-eight thousand, ninety-six".