4759532000 has 96 divisors (see below), whose sum is σ = 12010602240. Its totient is φ = 1852300800.

The previous prime is 4759531991. The next prime is 4759532009. The reversal of 4759532000 is 2359574.

It is an interprime number because it is at equal distance from previous prime (4759531991) and next prime (4759532009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4759532009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131921 + ... + 164079.

It is an arithmetic number, because the mean of its divisors is an integer number (125110440).

Almost surely, 2^4759532000 is an apocalyptic number.

4759532000 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 4759532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005301120).

4759532000 is an abundant number, since it is smaller than the sum of its proper divisors (7251070240).

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

4759532000 is a wasteful number, since it uses less digits than its factorization.

4759532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32221 (or 32203 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 4759532000 is about 68989.3614987122. The cubic root of 4759532000 is about 1682.1113854082. Note that the first 3 decimals are identical.

The spelling of 4759532000 in words is "four billion, seven hundred fifty-nine million, five hundred thirty-two thousand".