4643603640 has 192 divisors, whose sum is σ = 16855020000. Its totient is φ = 1143009792.

The previous prime is 4643603609. The next prime is 4643603683. The reversal of 4643603640 is 463063464.

4643603640 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 6 + 0 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4643603595 and 4643603604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107986 + ... + 144734.

Almost surely, 2^4643603640 is an apocalyptic number.

4643603640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4643603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427510000).

4643603640 is an abundant number, since it is smaller than the sum of its proper divisors (12211416360).

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

4643603640 is a wasteful number, since it uses less digits than its factorization.

4643603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36788 (or 36772 counting only the distinct ones).

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

The square root of 4643603640 is about 68143.9919582057. The cubic root of 4643603640 is about 1668.3418635762.

The spelling of 4643603640 in words is "four billion, six hundred forty-three million, six hundred three thousand, six hundred forty".