4759923975625 has 225 divisors, whose sum is σ = 7568988695961. Its totient is φ = 2990883168000.

The previous prime is 4759923975619. The next prime is 4759923975647. The reversal of 4759923975625 is 5265793299574.

The square root of 4759923975625 is 2181725.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 3301732482489 + 1458191493136 = 1817067^2 + 1207556^2 .

It is not a de Polignac number, because 4759923975625 - 2⁵ = 4759923975593 is a prime.

Its product of digits (1285956000) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 34743970557 + ... + 34743970693.

Almost surely, 2^{4759923975625} is an apocalyptic number.

4759923975625 is the 2181725-th square number.

4759923975625 is the 1090863-rd centered octagonal number.

It is an amenable number.

4759923975625 is a deficient number, since it is larger than the sum of its proper divisors (2809064720336).

4759923975625 is an frugal number, since it uses more digits than its factorization.

4759923975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 162 counting only the distinct ones).

The product of its digits is 1285956000, while the sum is 73.

The spelling of 4759923975625 in words is "four trillion, seven hundred fifty-nine billion, nine hundred twenty-three million, nine hundred seventy-five thousand, six hundred twenty-five".