160327806480 has 240 divisors, whose sum is σ = 571396129200. Its totient is φ = 40148140032.

The previous prime is 160327806461. The next prime is 160327806487. The reversal of 160327806480 is 84608723061.

160327806480 is a `hidden beast` number, since 1 + 60 + 32 + 7 + 80 + 6 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2092513536 + 158235292944 = 45744^2 + 397788^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (160327806487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5481174 + ... + 5510346.

It is an arithmetic number, because the mean of its divisors is an integer number (2380817205).

Almost surely, 2^160327806480 is an apocalyptic number.

160327806480 is a gapful number since it is divisible by the number (10) 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 160327806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285698064600).

160327806480 is an abundant number, since it is smaller than the sum of its proper divisors (411068322720).

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

160327806480 is a wasteful number, since it uses less digits than its factorization.

160327806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29658 (or 29649 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 160327806480 in words is "one hundred sixty billion, three hundred twenty-seven million, eight hundred six thousand, four hundred eighty".