447649566720 has 832 divisors, whose sum is σ = 1569400842240. Its totient is φ = 108636143616.

The previous prime is 447649566713. The next prime is 447649566799. The reversal of 447649566720 is 27665946744.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 3220500411 + ... + 3220500549.

Almost surely, 2^447649566720 is an apocalyptic number.

447649566720 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 447649566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784700421120).

447649566720 is an abundant number, since it is smaller than the sum of its proper divisors (1121751275520).

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

447649566720 is a wasteful number, since it uses less digits than its factorization.

447649566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 447649566720 in words is "four hundred forty-seven billion, six hundred forty-nine million, five hundred sixty-six thousand, seven hundred twenty".