320399177280 has 1008 divisors, whose sum is σ = 1313969537664. Its totient is φ = 65884815360.

The previous prime is 320399177279. The next prime is 320399177281. The reversal of 320399177280 is 82771993023.

It is an interprime number because it is at equal distance from previous prime (320399177279) and next prime (320399177281).

It is not an unprimeable number, because it can be changed into a prime (320399177281) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 325939669 + ... + 325940651.

It is an arithmetic number, because the mean of its divisors is an integer number (1303541208).

Almost surely, 2^320399177280 is an apocalyptic number.

320399177280 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 320399177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656984768832).

320399177280 is an abundant number, since it is smaller than the sum of its proper divisors (993570360384).

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

320399177280 is a wasteful number, since it uses less digits than its factorization.

320399177280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 320399177280 in words is "three hundred twenty billion, three hundred ninety-nine million, one hundred seventy-seven thousand, two hundred eighty".