4536959616 has 192 divisors, whose sum is σ = 15402816000. Its totient is φ = 1254389760.

The previous prime is 4536959579. The next prime is 4536959629. The reversal of 4536959616 is 6169596354.

4536959616 is a `hidden beast` number, since 4 + 5 + 36 + 9 + 596 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 240910 + ... + 259058.

It is an arithmetic number, because the mean of its divisors is an integer number (80223000).

Almost surely, 2^4536959616 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 4536959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701408000).

4536959616 is an abundant number, since it is smaller than the sum of its proper divisors (10865856384).

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

4536959616 is a wasteful number, since it uses less digits than its factorization.

4536959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18207 (or 18192 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 4536959616 is about 67356.9567008487. The cubic root of 4536959616 is about 1655.4712307452.

The spelling of 4536959616 in words is "four billion, five hundred thirty-six million, nine hundred fifty-nine thousand, six hundred sixteen".