447683828130 has 384 divisors, whose sum is σ = 1476046540800. Its totient is φ = 91440115200.

The previous prime is 447683828069. The next prime is 447683828143. The reversal of 447683828130 is 31828386744.

447683828130 is a `hidden beast` number, since 4 + 476 + 8 + 38 + 2 + 8 + 130 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191398501 + ... + 191400839.

It is an arithmetic number, because the mean of its divisors is an integer number (3843871200).

Almost surely, 2^447683828130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447683828130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738023270400).

447683828130 is an abundant number, since it is smaller than the sum of its proper divisors (1028362712670).

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

447683828130 is a wasteful number, since it uses less digits than its factorization.

447683828130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 447683828130 in words is "four hundred forty-seven billion, six hundred eighty-three million, eight hundred twenty-eight thousand, one hundred thirty".