4688311680 has 768 divisors, whose sum is σ = 19247155200. Its totient is φ = 1040449536.

The previous prime is 4688311673. The next prime is 4688311703. The reversal of 4688311680 is 861138864.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 36915777 + ... + 36915903.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^4688311680 is an apocalyptic number.

4688311680 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 4688311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

4688311680 is an abundant number, since it is smaller than the sum of its proper divisors (14558843520).

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

4688311680 is a wasteful number, since it uses less digits than its factorization.

4688311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4688311680 is about 68471.2471041677. The cubic root of 4688311680 is about 1673.6789679125.

The spelling of 4688311680 in words is "four billion, six hundred eighty-eight million, three hundred eleven thousand, six hundred eighty".