320385782400 has 768 divisors, whose sum is σ = 1180893168000. Its totient is φ = 75989975040.

The previous prime is 320385782393. The next prime is 320385782417. The reversal of 320385782400 is 4287583023.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195714382 + ... + 195716018.

Almost surely, 2^320385782400 is an apocalyptic number.

320385782400 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 320385782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590446584000).

320385782400 is an abundant number, since it is smaller than the sum of its proper divisors (860507385600).

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

320385782400 is a wasteful number, since it uses less digits than its factorization.

320385782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 320385782400 in words is "three hundred twenty billion, three hundred eighty-five million, seven hundred eighty-two thousand, four hundred".