320097386673792 has 1536 divisors, whose sum is σ = 1232429071104000. Its totient is φ = 79863725260800.

The previous prime is 320097386673731. The next prime is 320097386673793. The reversal of 320097386673792 is 297376683790023.

320097386673792 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 97 + 386 + 6 + 73 + 7 + 92 = 666.

It is a super-2 number, since 2×320097386673792² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 320097386673792.

It is not an unprimeable number, because it can be changed into a prime (320097386673793) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 62998892692 + ... + 62998897772.

It is an arithmetic number, because the mean of its divisors is an integer number (802362676500).

Almost surely, 2^{320097386673792} is an apocalyptic number.

320097386673792 is a gapful number since it is divisible by the number (32) 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 320097386673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616214535552000).

320097386673792 is an abundant number, since it is smaller than the sum of its proper divisors (912331684430208).

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

320097386673792 is a wasteful number, since it uses less digits than its factorization.

320097386673792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 320097386673792 in words is "three hundred twenty trillion, ninety-seven billion, three hundred eighty-six million, six hundred seventy-three thousand, seven hundred ninety-two".