447180664320 has 960 divisors, whose sum is σ = 1823562284544. Its totient is φ = 100222894080.

The previous prime is 447180664309. The next prime is 447180664339. The reversal of 447180664320 is 23466081744.

447180664320 is a `hidden beast` number, since 4 + 471 + 80 + 66 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157845624 + ... + 157848456.

Almost surely, 2^447180664320 is an apocalyptic number.

447180664320 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 447180664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911781142272).

447180664320 is an abundant number, since it is smaller than the sum of its proper divisors (1376381620224).

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

447180664320 is a wasteful number, since it uses less digits than its factorization.

447180664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 447180664320 in words is "four hundred forty-seven billion, one hundred eighty million, six hundred sixty-four thousand, three hundred twenty".