4688480000 has 90 divisors (see below), whose sum is σ = 11694962664. Its totient is φ = 1875328000.

The previous prime is 4688479981. The next prime is 4688480029. The reversal of 4688480000 is 848864.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 145349 + ... + 174651.

Almost surely, 2^4688480000 is an apocalyptic number.

4688480000 is a gapful number since it is divisible by the number (40) 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 4688480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847481332).

4688480000 is an abundant number, since it is smaller than the sum of its proper divisors (7006482664).

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

4688480000 is an frugal number, since it uses more digits than its factorization.

4688480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29339 (or 29310 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 4688480000 is about 68472.4762222019. The cubic root of 4688480000 is about 1673.6989971747.

The spelling of 4688480000 in words is "four billion, six hundred eighty-eight million, four hundred eighty thousand".