4684884864 has 128 divisors (see below), whose sum is σ = 13608432000. Its totient is φ = 1416222720.

The previous prime is 4684884797. The next prime is 4684884913.

It is a happy number.

4684884864 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4684884798 and 4684884807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148927 + ... + 2151105.

It is an arithmetic number, because the mean of its divisors is an integer number (106315875).

Almost surely, 2^4684884864 is an apocalyptic number.

4684884864 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 4684884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804216000).

4684884864 is an abundant number, since it is smaller than the sum of its proper divisors (8923547136).

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

4684884864 is a wasteful number, since it uses less digits than its factorization.

4684884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2704 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The square root of 4684884864 is about 68446.2187706523. The cubic root of 4684884864 is about 1673.2710891841.

The spelling of 4684884864 in words is "four billion, six hundred eighty-four million, eight hundred eighty-four thousand, eight hundred sixty-four".