447666004800 has 840 divisors, whose sum is σ = 1991271104064. Its totient is φ = 96301301760.

The previous prime is 447666004789. The next prime is 447666004801. The reversal of 447666004800 is 8400666744.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447666004801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 15407887 + ... + 15436913.

Almost surely, 2^447666004800 is an apocalyptic number.

447666004800 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 447666004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995635552032).

447666004800 is an abundant number, since it is smaller than the sum of its proper divisors (1543605099264).

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

447666004800 is a wasteful number, since it uses less digits than its factorization.

447666004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29085 (or 29061 counting only the distinct ones).

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

The spelling of 447666004800 in words is "four hundred forty-seven billion, six hundred sixty-six million, four thousand, eight hundred".