4606834624 has 224 divisors, whose sum is σ = 11483254656. Its totient is φ = 1789132800.

The previous prime is 4606834567. The next prime is 4606834633. The reversal of 4606834624 is 4264386064.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40768392 + ... + 40768504.

Almost surely, 2^4606834624 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 4606834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741627328).

4606834624 is an abundant number, since it is smaller than the sum of its proper divisors (6876420032).

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

4606834624 is a wasteful number, since it uses less digits than its factorization.

4606834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The square root of 4606834624 is about 67873.6666462038. Note that the first 4 decimals coincide. The cubic root of 4606834624 is about 1663.9267642201.

The spelling of 4606834624 in words is "four billion, six hundred six million, eight hundred thirty-four thousand, six hundred twenty-four".