4689594000 has 720 divisors, whose sum is σ = 20569152240. Its totient is φ = 987033600.

The previous prime is 4689593989. The next prime is 4689594023. The reversal of 4689594000 is 4959864.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1310729616 + 3378864384 = 36204^2 + 58128^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 11465796 + ... + 11466204.

It is an arithmetic number, because the mean of its divisors is an integer number (28568267).

Almost surely, 2^4689594000 is an apocalyptic number.

4689594000 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 4689594000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10284576120).

4689594000 is an abundant number, since it is smaller than the sum of its proper divisors (15879558240).

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

4689594000 is a wasteful number, since it uses less digits than its factorization.

4689594000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4689594000 is about 68480.6103944759. The cubic root of 4689594000 is about 1673.8315456788.

The spelling of 4689594000 in words is "four billion, six hundred eighty-nine million, five hundred ninety-four thousand".