447534472600080 has 960 divisors, whose sum is σ = 1692050741821440. Its totient is φ = 109561969778688.

The previous prime is 447534472600069. The next prime is 447534472600091. The reversal of 447534472600080 is 80006274435744.

447534472600080 is a `hidden beast` number, since 4 + 4 + 7 + 5 + 34 + 472 + 60 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (447534472600069) and next prime (447534472600091).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2016964024 + ... + 2017185896.

It is an arithmetic number, because the mean of its divisors is an integer number (1762552856064).

Almost surely, 2^{447534472600080} is an apocalyptic number.

447534472600080 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 447534472600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846025370910720).

447534472600080 is an abundant number, since it is smaller than the sum of its proper divisors (1244516269221360).

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

447534472600080 is a wasteful number, since it uses less digits than its factorization.

447534472600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222090 (or 222072 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 447534472600080 in words is "four hundred forty-seven trillion, five hundred thirty-four billion, four hundred seventy-two million, six hundred thousand, eighty".