447983640576 has 448 divisors, whose sum is σ = 1383721286400. Its totient is φ = 143061811200.

The previous prime is 447983640563. The next prime is 447983640641. The reversal of 447983640576 is 675046389744.

It is a happy number.

447983640576 is a `hidden beast` number, since 4 + 47 + 98 + 36 + 405 + 76 = 666.

It is a super-2 number, since 2×447983640576² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1353424731 + ... + 1353425061.

Almost surely, 2^447983640576 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 447983640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691860643200).

447983640576 is an abundant number, since it is smaller than the sum of its proper divisors (935737645824).

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

447983640576 is a wasteful number, since it uses less digits than its factorization.

447983640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 447983640576 in words is "four hundred forty-seven billion, nine hundred eighty-three million, six hundred forty thousand, five hundred seventy-six".