4430016864 has 288 divisors, whose sum is σ = 15869677824. Its totient is φ = 1140894720.

The previous prime is 4430016823. The next prime is 4430016883. The reversal of 4430016864 is 4686100344.

4430016864 is a `hidden beast` number, since 4 + 430 + 0 + 168 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1124979 + ... + 1128909.

It is an arithmetic number, because the mean of its divisors is an integer number (55103048).

Almost surely, 2^4430016864 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 4430016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934838912).

4430016864 is an abundant number, since it is smaller than the sum of its proper divisors (11439660960).

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

4430016864 is a wasteful number, since it uses less digits than its factorization.

4430016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4430016864 is about 66558.3718550867. The cubic root of 4430016864 is about 1642.3603806733.

The spelling of 4430016864 in words is "four billion, four hundred thirty million, sixteen thousand, eight hundred sixty-four".