4689410064 has 160 divisors (see below), whose sum is σ = 13136302080. Its totient is φ = 1436714496.

The previous prime is 4689410051. The next prime is 4689410087. The reversal of 4689410064 is 4600149864.

It is a junction number, because it is equal to n+sod(n) for n = 4689409998 and 4689410025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7725249 + ... + 7725855.

It is an arithmetic number, because the mean of its divisors is an integer number (82101888).

Almost surely, 2^4689410064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689410064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568151040).

4689410064 is an abundant number, since it is smaller than the sum of its proper divisors (8446892016).

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

4689410064 is a wasteful number, since it uses less digits than its factorization.

4689410064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4689410064 is about 68479.2674026234. The cubic root of 4689410064 is about 1673.8096616306.

The spelling of 4689410064 in words is "four billion, six hundred eighty-nine million, four hundred ten thousand, sixty-four".