447759642960 has 640 divisors, whose sum is σ = 1785485721600. Its totient is φ = 101025792000.

The previous prime is 447759642937. The next prime is 447759642961. The reversal of 447759642960 is 69246957744.

It is a happy number.

447759642960 is a `hidden beast` number, since 447 + 7 + 5 + 96 + 42 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447759642961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481979776 + ... + 481980704.

It is an arithmetic number, because the mean of its divisors is an integer number (2789821440).

Almost surely, 2^447759642960 is an apocalyptic number.

447759642960 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 447759642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892742860800).

447759642960 is an abundant number, since it is smaller than the sum of its proper divisors (1337726078640).

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

447759642960 is a wasteful number, since it uses less digits than its factorization.

447759642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 447759642960 in words is "four hundred forty-seven billion, seven hundred fifty-nine million, six hundred forty-two thousand, nine hundred sixty".