4680624100 has 18 divisors (see below), whose sum is σ = 10156954514. Its totient is φ = 1872249600.

The previous prime is 4680624097. The next prime is 4680624101. The reversal of 4680624100 is 14260864.

It can be written as a sum of positive squares in 3 ways, for example, as 155102116 + 4525521984 = 12454^2 + 67272^2 .

It is not an unprimeable number, because it can be changed into a prime (4680624101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 23403021 + ... + 23403220.

Almost surely, 2^4680624100 is an apocalyptic number.

It is an amenable number.

4680624100 is an abundant number, since it is smaller than the sum of its proper divisors (5476330414).

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

4680624100 is a wasteful number, since it uses less digits than its factorization.

4680624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46806255 (or 46806248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4680624100 is about 68415.0867864684. The cubic root of 4680624100 is about 1672.7636718303.

Adding to 4680624100 its reverse (14260864), we get a palindrome (4694884964).

The spelling of 4680624100 in words is "four billion, six hundred eighty million, six hundred twenty-four thousand, one hundred".