4688866560 has 576 divisors, whose sum is σ = 18762153984. Its totient is φ = 973209600.

The previous prime is 4688866517. The next prime is 4688866571. The reversal of 4688866560 is 656688864.

It is a self number, because there is not a number n which added to its sum of digits gives 4688866560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165595 + ... + 14165925.

It is an arithmetic number, because the mean of its divisors is an integer number (32573184).

Almost surely, 2^4688866560 is an apocalyptic number.

4688866560 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 4688866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381076992).

4688866560 is an abundant number, since it is smaller than the sum of its proper divisors (14073287424).

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

4688866560 is a wasteful number, since it uses less digits than its factorization.

4688866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The square root of 4688866560 is about 68475.2989040574. The cubic root of 4688866560 is about 1673.7449941222.

The spelling of 4688866560 in words is "four billion, six hundred eighty-eight million, eight hundred sixty-six thousand, five hundred sixty".