4682994624 has 336 divisors, whose sum is σ = 17722388736. Its totient is φ = 1144627200.

The previous prime is 4682994623. The next prime is 4682994647. The reversal of 4682994624 is 4264992864.

4682994624 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 9 + 9 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682994623) 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 47 ways as a sum of consecutive naturals, for example, 750879 + ... + 757089.

Almost surely, 2^4682994624 is an apocalyptic number.

4682994624 is a gapful number since it is divisible by the number (44) 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 4682994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8861194368).

4682994624 is an abundant number, since it is smaller than the sum of its proper divisors (13039394112).

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

4682994624 is a wasteful number, since it uses less digits than its factorization.

4682994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6251 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 4682994624 is about 68432.4091640796. The cubic root of 4682994624 is about 1673.0460171696.

The spelling of 4682994624 in words is "four billion, six hundred eighty-two million, nine hundred ninety-four thousand, six hundred twenty-four".