4630689504 has 144 divisors (see below), whose sum is σ = 15191100288. Its totient is φ = 1310628096.

The previous prime is 4630689487. The next prime is 4630689529. The reversal of 4630689504 is 4059860364.

4630689504 is a `hidden beast` number, since 4 + 63 + 0 + 6 + 89 + 504 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4630689504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204979 + ... + 226445.

It is an arithmetic number, because the mean of its divisors is an integer number (105493752).

Almost surely, 2^4630689504 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 4630689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595550144).

4630689504 is an abundant number, since it is smaller than the sum of its proper divisors (10560410784).

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

4630689504 is a wasteful number, since it uses less digits than its factorization.

4630689504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21597 (or 21586 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4630689504 is about 68049.1697524665. The cubic root of 4630689504 is about 1666.7938418867.

The spelling of 4630689504 in words is "four billion, six hundred thirty million, six hundred eighty-nine thousand, five hundred four".