447681977568 has 192 divisors, whose sum is σ = 1494471928320. Its totient is φ = 127720682496.

The previous prime is 447681977549. The next prime is 447681977569. The reversal of 447681977568 is 865779186744.

447681977568 is a `hidden beast` number, since 4 + 47 + 6 + 8 + 19 + 7 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 447681977496 and 447681977505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447681977569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4076596 + ... + 4184972.

It is an arithmetic number, because the mean of its divisors is an integer number (7783707960).

Almost surely, 2^447681977568 is an apocalyptic number.

447681977568 is a gapful number since it is divisible by the number (48) 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 447681977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747235964160).

447681977568 is an abundant number, since it is smaller than the sum of its proper divisors (1046789950752).

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

447681977568 is a wasteful number, since it uses less digits than its factorization.

447681977568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109086 (or 109072 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 447681977568 in words is "four hundred forty-seven billion, six hundred eighty-one million, nine hundred seventy-seven thousand, five hundred sixty-eight".