4688718400 has 42 divisors (see below), whose sum is σ = 11537181650. Its totient is φ = 1875486720.

The previous prime is 4688718373. The next prime is 4688718413. The reversal of 4688718400 is 48178864.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 767954944 + 3920763456 = 27712^2 + 62616^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1463625 + ... + 1466824.

Almost surely, 2^4688718400 is an apocalyptic number.

4688718400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4688718400 is an abundant number, since it is smaller than the sum of its proper divisors (6848463250).

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

4688718400 is a wasteful number, since it uses less digits than its factorization.

4688718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930471 (or 2930456 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 4688718400 is about 68474.2170455420. The cubic root of 4688718400 is about 1673.7273647962.

The spelling of 4688718400 in words is "four billion, six hundred eighty-eight million, seven hundred eighteen thousand, four hundred".