4936329216 has 576 divisors, whose sum is σ = 18363945600. Its totient is φ = 1289945088.

The previous prime is 4936329187. The next prime is 4936329239. The reversal of 4936329216 is 6129236394.

4936329216 is a `hidden beast` number, since 4 + 9 + 3 + 632 + 9 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4936329216² = 48734692257470349312, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45287370 + ... + 45287478.

It is an arithmetic number, because the mean of its divisors is an integer number (31881850).

Almost surely, 2^4936329216 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 4936329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9181972800).

4936329216 is an abundant number, since it is smaller than the sum of its proper divisors (13427616384).

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

4936329216 is a wasteful number, since it uses less digits than its factorization.

4936329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 4936329216 is about 70259.0151937814. The cubic root of 4936329216 is about 1702.6865498390.

The spelling of 4936329216 in words is "four billion, nine hundred thirty-six million, three hundred twenty-nine thousand, two hundred sixteen".