4436676216 has 288 divisors, whose sum is σ = 14587503840. Its totient is φ = 1192029696.

The previous prime is 4436676199. The next prime is 4436676221. The reversal of 4436676216 is 6126766344.

It is a happy number.

4436676216 is a `hidden beast` number, since 4 + 4 + 366 + 76 + 216 = 666.

It is a super-3 number, since 3×4436676216³ (a number of 30 digits) contains 333 as substring.

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

Its product of digits (870912) is a multiple of the sum of its prime factors (243).

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, 66219015 + ... + 66219081.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 2^4436676216 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 4436676216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

4436676216 is an abundant number, since it is smaller than the sum of its proper divisors (10150827624).

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

4436676216 is a wasteful number, since it uses less digits than its factorization.

4436676216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 169 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4436676216 is about 66608.3794728561. The cubic root of 4436676216 is about 1643.1829193133.

The spelling of 4436676216 in words is "four billion, four hundred thirty-six million, six hundred seventy-six thousand, two hundred sixteen".