4463712000 has 432 divisors, whose sum is σ = 17534331360. Its totient is φ = 1081344000.

The previous prime is 4463711983. The next prime is 4463712013. The reversal of 4463712000 is 2173644.

4463712000 is a `hidden beast` number, since 4 + 4 + 637 + 1 + 20 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167296 + ... + 3168704.

It is an arithmetic number, because the mean of its divisors is an integer number (40588730).

Almost surely, 2^4463712000 is an apocalyptic number.

4463712000 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 4463712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767165680).

4463712000 is an abundant number, since it is smaller than the sum of its proper divisors (13070619360).

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

4463712000 is a wasteful number, since it uses less digits than its factorization.

4463712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4463712000 is about 66811.0170555725. The cubic root of 4463712000 is about 1646.5138517147.

Adding to 4463712000 its reverse (2173644), we get a palindrome (4465885644).

The spelling of 4463712000 in words is "four billion, four hundred sixty-three million, seven hundred twelve thousand".