320005386720 has 192 divisors, whose sum is σ = 1124956304640. Its totient is φ = 84958585344.

The previous prime is 320005386719. The next prime is 320005386731. The reversal of 320005386720 is 27683500023.

320005386720 is a `hidden beast` number, since 3 + 200 + 0 + 5 + 386 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 817479 + ... + 1143801.

It is an arithmetic number, because the mean of its divisors is an integer number (5859147420).

Almost surely, 2^320005386720 is an apocalyptic number.

320005386720 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 320005386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562478152320).

320005386720 is an abundant number, since it is smaller than the sum of its proper divisors (804950917920).

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

320005386720 is a wasteful number, since it uses less digits than its factorization.

320005386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326574 (or 326560 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 320005386720 its reverse (27683500023), we get a palindrome (347688886743).

The spelling of 320005386720 in words is "three hundred twenty billion, five million, three hundred eighty-six thousand, seven hundred twenty".