4688464600 has 24 divisors (see below), whose sum is σ = 10900680660. Its totient is φ = 1875385760.

The previous prime is 4688464549. The next prime is 4688464609. The reversal of 4688464600 is 64648864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688464609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11720962 + ... + 11721361.

Almost surely, 2^4688464600 is an apocalyptic number.

4688464600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4688464600 is an abundant number, since it is smaller than the sum of its proper divisors (6212216060).

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

4688464600 is a wasteful number, since it uses less digits than its factorization.

4688464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23442339 (or 23442330 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The square root of 4688464600 is about 68472.3637681656. The cubic root of 4688464600 is about 1673.6971646695.

The spelling of 4688464600 in words is "four billion, six hundred eighty-eight million, four hundred sixty-four thousand, six hundred".