4825682624 has 168 divisors, whose sum is σ = 12097877760. Its totient is φ = 1862175744.

The previous prime is 4825682623. The next prime is 4825682669. The reversal of 4825682624 is 4262865284.

It is not an unprimeable number, because it can be changed into a prime (4825682623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30736754 + ... + 30736910.

Almost surely, 2^4825682624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4825682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048938880).

4825682624 is an abundant number, since it is smaller than the sum of its proper divisors (7272195136).

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

4825682624 is a wasteful number, since it uses less digits than its factorization.

4825682624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 208 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 47.

The square root of 4825682624 is about 69467.1334085408. The cubic root of 4825682624 is about 1689.8685312573.

The spelling of 4825682624 in words is "four billion, eight hundred twenty-five million, six hundred eighty-two thousand, six hundred twenty-four".