4689330624 has 448 divisors, whose sum is σ = 15976396800. Its totient is φ = 1335398400.

The previous prime is 4689330623. The next prime is 4689330637. The reversal of 4689330624 is 4260339864.

It is a self number, because there is not a number n which added to its sum of digits gives 4689330624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4689330623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25907814 + ... + 25907994.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^4689330624 is an apocalyptic number.

4689330624 is a gapful number since it is divisible by the number (44) 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 4689330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988198400).

4689330624 is an abundant number, since it is smaller than the sum of its proper divisors (11287066176).

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

4689330624 is a wasteful number, since it uses less digits than its factorization.

4689330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4689330624 is about 68478.6873705973. The cubic root of 4689330624 is about 1673.8002099662.

The spelling of 4689330624 in words is "four billion, six hundred eighty-nine million, three hundred thirty thousand, six hundred twenty-four".