4684224864 has 192 divisors, whose sum is σ = 13924576512. Its totient is φ = 1366272000.

The previous prime is 4684224859. The next prime is 4684224871.

4684224864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

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, 3945679 + ... + 3946865.

It is an arithmetic number, because the mean of its divisors is an integer number (72523836).

Almost surely, 2^4684224864 is an apocalyptic number.

4684224864 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 4684224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962288256).

4684224864 is an abundant number, since it is smaller than the sum of its proper divisors (9240351648).

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

4684224864 is a wasteful number, since it uses less digits than its factorization.

4684224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 4684224864 is about 68441.3972972499. The cubic root of 4684224864 is about 1673.1925094669.

The spelling of 4684224864 in words is "four billion, six hundred eighty-four million, two hundred twenty-four thousand, eight hundred sixty-four".