4406766336 has 144 divisors (see below), whose sum is σ = 14893401600. Its totient is φ = 1259062272.

The previous prime is 4406766323. The next prime is 4406766359. The reversal of 4406766336 is 6336676044.

4406766336 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 7 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4406766291 and 4406766300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 93923.

It is an arithmetic number, because the mean of its divisors is an integer number (103426400).

Almost surely, 2^4406766336 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 4406766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446700800).

4406766336 is an abundant number, since it is smaller than the sum of its proper divisors (10486635264).

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

4406766336 is an equidigital number, since it uses as much as digits as its factorization.

4406766336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91111 (or 91091 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The square root of 4406766336 is about 66383.4793905833. The cubic root of 4406766336 is about 1639.4820811519.

The spelling of 4406766336 in words is "four billion, four hundred six million, seven hundred sixty-six thousand, three hundred thirty-six".