447876946944 has 792 divisors, whose sum is σ = 1579077580080. Its totient is φ = 126414618624.

The previous prime is 447876946927. The next prime is 447876946969. The reversal of 447876946944 is 449649678744.

447876946944 is a `hidden beast` number, since 4 + 47 + 87 + 6 + 9 + 469 + 44 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1329011544 + ... + 1329011880.

Almost surely, 2^447876946944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447876946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789538790040).

447876946944 is an abundant number, since it is smaller than the sum of its proper divisors (1131200633136).

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

447876946944 is a wasteful number, since it uses less digits than its factorization.

447876946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 458 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 447876946944 in words is "four hundred forty-seven billion, eight hundred seventy-six million, nine hundred forty-six thousand, nine hundred forty-four".