447471319680 has 2304 divisors, whose sum is σ = 2085821337600. Its totient is φ = 89669099520.

The previous prime is 447471319651. The next prime is 447471319709. The reversal of 447471319680 is 86913174744.

It is a happy number.

447471319680 is a `hidden beast` number, since 4 + 4 + 7 + 471 + 3 + 1 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (447471319651) and next prime (447471319709).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5664193881 + ... + 5664193959.

It is an arithmetic number, because the mean of its divisors is an integer number (905304400).

Almost surely, 2^447471319680 is an apocalyptic number.

447471319680 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 447471319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042910668800).

447471319680 is an abundant number, since it is smaller than the sum of its proper divisors (1638350017920).

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

447471319680 is a wasteful number, since it uses less digits than its factorization.

447471319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 447471319680 in words is "four hundred forty-seven billion, four hundred seventy-one million, three hundred nineteen thousand, six hundred eighty".