320244326634960 has 1600 divisors, whose sum is σ = 1380309904512000. Its totient is φ = 67008634159104.

The previous prime is 320244326634949. The next prime is 320244326634979. The reversal of 320244326634960 is 69436623442023.

320244326634960 is a `hidden beast` number, since 3 + 20 + 2 + 44 + 32 + 6 + 63 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 320244326634897 and 320244326634906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 37198779136 + ... + 37198787744.

It is an arithmetic number, because the mean of its divisors is an integer number (862693690320).

Almost surely, 2^{320244326634960} is an apocalyptic number.

320244326634960 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 320244326634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690154952256000).

320244326634960 is an abundant number, since it is smaller than the sum of its proper divisors (1060065577877040).

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

320244326634960 is a wasteful number, since it uses less digits than its factorization.

320244326634960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 54.

The spelling of 320244326634960 in words is "three hundred twenty trillion, two hundred forty-four billion, three hundred twenty-six million, six hundred thirty-four thousand, nine hundred sixty".