4637682432 has 144 divisors (see below), whose sum is σ = 13748434560. Its totient is φ = 1542067200.

The previous prime is 4637682419. The next prime is 4637682443. The reversal of 4637682432 is 2342867364.

4637682432 is a `hidden beast` number, since 4 + 637 + 6 + 8 + 2 + 4 + 3 + 2 = 666.

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

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, 4775707 + ... + 4776677.

It is an arithmetic number, because the mean of its divisors is an integer number (95475240).

Almost surely, 2^4637682432 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 4637682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874217280).

4637682432 is an abundant number, since it is smaller than the sum of its proper divisors (9110752128).

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

4637682432 is an equidigital number, since it uses as much as digits as its factorization.

4637682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1667 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4637682432 is about 68100.5318040909. The cubic root of 4637682432 is about 1667.6324432084.

The spelling of 4637682432 in words is "four billion, six hundred thirty-seven million, six hundred eighty-two thousand, four hundred thirty-two".