447869726720 has 832 divisors, whose sum is σ = 1307834035200. Its totient is φ = 145662935040.

The previous prime is 447869726657. The next prime is 447869726747. The reversal of 447869726720 is 27627968744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×447869726720² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6308024285 + ... + 6308024355.

Almost surely, 2^447869726720 is an apocalyptic number.

447869726720 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 447869726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653917017600).

447869726720 is an abundant number, since it is smaller than the sum of its proper divisors (859964308480).

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

447869726720 is a wasteful number, since it uses less digits than its factorization.

447869726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 62.

The spelling of 447869726720 in words is "four hundred forty-seven billion, eight hundred sixty-nine million, seven hundred twenty-six thousand, seven hundred twenty".