4759200000 has 324 divisors, whose sum is σ = 17177283396. Its totient is φ = 1267200000.

The previous prime is 4759199989. The next prime is 4759200023. The reversal of 4759200000 is 29574.

It can be written as a sum of positive squares in 6 ways, for example, as 3295678464 + 1463521536 = 57408^2 + 38256^2 .

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 35 ways as a sum of consecutive naturals, for example, 7199670 + ... + 7200330.

Almost surely, 2^4759200000 is an apocalyptic number.

4759200000 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 4759200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588641698).

4759200000 is an abundant number, since it is smaller than the sum of its proper divisors (12418083396).

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

4759200000 is an frugal number, since it uses more digits than its factorization.

4759200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4759200000 is about 68986.9552886631. The cubic root of 4759200000 is about 1682.0722727415.

Adding to 4759200000 its reverse (29574), we get a palindrome (4759229574).

The spelling of 4759200000 in words is "four billion, seven hundred fifty-nine million, two hundred thousand".