4688218080 has 864 divisors, whose sum is σ = 21175408800. Its totient is φ = 933617664.

The previous prime is 4688218069. The next prime is 4688218091. The reversal of 4688218080 is 808128864.

It is a happy number.

4688218080 is a `hidden beast` number, since 468 + 8 + 2 + 180 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4688218069) and next prime (4688218091).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17428186 + ... + 17428454.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^4688218080 is an apocalyptic number.

4688218080 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 4688218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587704400).

4688218080 is an abundant number, since it is smaller than the sum of its proper divisors (16487190720).

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

4688218080 is a wasteful number, since it uses less digits than its factorization.

4688218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 4688218080 is about 68470.5636021787. The cubic root of 4688218080 is about 1673.6678297598.

The spelling of 4688218080 in words is "four billion, six hundred eighty-eight million, two hundred eighteen thousand, eighty".