4689119864 has 64 divisors (see below), whose sum is σ = 10346646240. Its totient is φ = 1964136960.

The previous prime is 4689119863. The next prime is 4689119867.

4689119864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4689119863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743894 + ... + 750170.

Almost surely, 2^4689119864 is an apocalyptic number.

4689119864 is a gapful number since it is divisible by the number (44) 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 4689119864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173323120).

4689119864 is an abundant number, since it is smaller than the sum of its proper divisors (5657526376).

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

4689119864 is a wasteful number, since it uses less digits than its factorization.

4689119864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6956 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 4689119864 is about 68477.1484803507. The cubic root of 4689119864 is about 1673.7751335075.

The spelling of 4689119864 in words is "four billion, six hundred eighty-nine million, one hundred nineteen thousand, eight hundred sixty-four".