4640436306 has 96 divisors (see below), whose sum is σ = 11229865920. Its totient is φ = 1372924800.

The previous prime is 4640436301. The next prime is 4640436337. The reversal of 4640436306 is 6036340464.

4640436306 is a `hidden beast` number, since 4 + 640 + 4 + 3 + 6 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×4640436306² = 43067298220085851272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4640436301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402161 + ... + 2404091.

It is an arithmetic number, because the mean of its divisors is an integer number (116977770).

Almost surely, 2^4640436306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640436306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614932960).

4640436306 is an abundant number, since it is smaller than the sum of its proper divisors (6589429614).

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

4640436306 is a wasteful number, since it uses less digits than its factorization.

4640436306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4640436306 is about 68120.7479847366. The cubic root of 4640436306 is about 1667.9624601216.

The spelling of 4640436306 in words is "four billion, six hundred forty million, four hundred thirty-six thousand, three hundred six".