4643730000 has 1050 divisors, whose sum is σ = 21117173154. Its totient is φ = 979776000.

The previous prime is 4643729957. The next prime is 4643730011. The reversal of 4643730000 is 373464.

It can be written as a sum of positive squares in 5 ways, for example, as 2721082896 + 1922647104 = 52164^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 209 ways as a sum of consecutive naturals, for example, 357209994 + ... + 357210006.

Almost surely, 2^4643730000 is an apocalyptic number.

4643730000 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 4643730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558586577).

4643730000 is an abundant number, since it is smaller than the sum of its proper divisors (16473443154).

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

4643730000 is an equidigital number, since it uses as much as digits as its factorization.

4643730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4643730000 is about 68144.9191062694. The cubic root of 4643730000 is about 1668.3569962032.

The spelling of 4643730000 in words is "four billion, six hundred forty-three million, seven hundred thirty thousand".