447065478720 has 504 divisors, whose sum is σ = 1813320680184. Its totient is φ = 100784259072.

The previous prime is 447065478719. The next prime is 447065478733. The reversal of 447065478720 is 27874560744.

447065478720 is a `hidden beast` number, since 4 + 4 + 70 + 6 + 547 + 8 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142122968064 + 304942510656 = 376992^2 + 552216^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 10280062 + ... + 10323458.

Almost surely, 2^447065478720 is an apocalyptic number.

447065478720 is a gapful number since it is divisible by the number (40) 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 447065478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906660340092).

447065478720 is an abundant number, since it is smaller than the sum of its proper divisors (1366255201464).

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

447065478720 is a wasteful number, since it uses less digits than its factorization.

447065478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43507 (or 43487 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 447065478720 in words is "four hundred forty-seven billion, sixty-five million, four hundred seventy-eight thousand, seven hundred twenty".