4681462824 has 128 divisors (see below), whose sum is σ = 13389004800. Its totient is φ = 1514842560.

The previous prime is 4681462783. The next prime is 4681462829. The reversal of 4681462824 is 4282641864.

4681462824 is a `hidden beast` number, since 4 + 6 + 8 + 14 + 628 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4681462824.

It is not an unprimeable number, because it can be changed into a prime (4681462829) 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 31 ways as a sum of consecutive naturals, for example, 1287489 + ... + 1291119.

It is an arithmetic number, because the mean of its divisors is an integer number (104601600).

Almost surely, 2^4681462824 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 4681462824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694502400).

4681462824 is an abundant number, since it is smaller than the sum of its proper divisors (8707541976).

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

4681462824 is a wasteful number, since it uses less digits than its factorization.

4681462824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3810 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 4681462824 is about 68421.2161832863. The cubic root of 4681462824 is about 1672.8635803906.

The spelling of 4681462824 in words is "four billion, six hundred eighty-one million, four hundred sixty-two thousand, eight hundred twenty-four".