447527772928704 has 224 divisors, whose sum is σ = 1280764005603264. Its totient is φ = 137096596684800.

The previous prime is 447527772928681. The next prime is 447527772928723. The reversal of 447527772928704 is 407829277725744.

It is a super-2 number, since 2×447527772928704² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7211993742 + ... + 7212055794.

It is an arithmetic number, because the mean of its divisors is an integer number (5717696453586).

Almost surely, 2^{447527772928704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447527772928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640382002801632).

447527772928704 is an abundant number, since it is smaller than the sum of its proper divisors (833236232674560).

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

447527772928704 is a wasteful number, since it uses less digits than its factorization.

447527772928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74715 (or 74705 counting only the distinct ones).

The product of its (nonzero) digits is 3097866240, while the sum is 75.

The spelling of 447527772928704 in words is "four hundred forty-seven trillion, five hundred twenty-seven billion, seven hundred seventy-two million, nine hundred twenty-eight thousand, seven hundred four".