447122632320 has 1152 divisors, whose sum is σ = 1997106209280. Its totient is φ = 91271577600.

The previous prime is 447122632283. The next prime is 447122632331. The reversal of 447122632320 is 23236221744.

447122632320 is a `hidden beast` number, since 4 + 4 + 7 + 12 + 2 + 632 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113740755 + ... + 113744685.

It is an arithmetic number, because the mean of its divisors is an integer number (1733599140).

Almost surely, 2^447122632320 is an apocalyptic number.

447122632320 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 447122632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998553104640).

447122632320 is an abundant number, since it is smaller than the sum of its proper divisors (1549983576960).

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

447122632320 is a wasteful number, since it uses less digits than its factorization.

447122632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 447122632320 in words is "four hundred forty-seven billion, one hundred twenty-two million, six hundred thirty-two thousand, three hundred twenty".