320047904160 has 192 divisors, whose sum is σ = 1135945762560. Its totient is φ = 84143969280.

The previous prime is 320047904149. The next prime is 320047904179. The reversal of 320047904160 is 61409740023.

320047904160 is a `hidden beast` number, since 3 + 20 + 0 + 479 + 0 + 4 + 160 = 666.

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

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, 215007 + ... + 828446.

It is an arithmetic number, because the mean of its divisors is an integer number (5916384180).

Almost surely, 2^320047904160 is an apocalyptic number.

320047904160 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 320047904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567972881280).

320047904160 is an abundant number, since it is smaller than the sum of its proper divisors (815897858400).

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

320047904160 is a wasteful number, since it uses less digits than its factorization.

320047904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043548 (or 1043534 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 320047904160 in words is "three hundred twenty billion, forty-seven million, nine hundred four thousand, one hundred sixty".