447974332064 has 96 divisors (see below), whose sum is σ = 1028564925696. Its totient is φ = 188072202240.

The previous prime is 447974332007. The next prime is 447974332121. The reversal of 447974332064 is 460233479744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447974332007) and next prime (447974332121).

It is a hoax number, since the sum of its digits (53) 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 (53).

It is a junction number, because it is equal to n+sod(n) for n = 447974331997 and 447974332015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7652024 + ... + 7710344.

It is an arithmetic number, because the mean of its divisors is an integer number (10714217976).

Almost surely, 2^447974332064 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 447974332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514282462848).

447974332064 is an abundant number, since it is smaller than the sum of its proper divisors (580590593632).

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

447974332064 is a wasteful number, since it uses less digits than its factorization.

447974332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59038 (or 59030 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 53.

The spelling of 447974332064 in words is "four hundred forty-seven billion, nine hundred seventy-four million, three hundred thirty-two thousand, sixty-four".