4688030880 has 288 divisors, whose sum is σ = 17321181696. Its totient is φ = 1147779072.

The previous prime is 4688030819. The next prime is 4688030917. The reversal of 4688030880 is 880308864.

4688030880 is a `hidden beast` number, since 468 + 80 + 30 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4173999 + ... + 4175121.

It is an arithmetic number, because the mean of its divisors is an integer number (60142992).

Almost surely, 2^4688030880 is an apocalyptic number.

4688030880 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 4688030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660590848).

4688030880 is an abundant number, since it is smaller than the sum of its proper divisors (12633150816).

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

4688030880 is a wasteful number, since it uses less digits than its factorization.

4688030880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4688030880 is about 68469.1965777312. The cubic root of 4688030880 is about 1673.6455530097.

The spelling of 4688030880 in words is "four billion, six hundred eighty-eight million, thirty thousand, eight hundred eighty".