4684103424 has 576 divisors, whose sum is σ = 18625582080. Its totient is φ = 1121402880.

The previous prime is 4684103407. The next prime is 4684103491. The reversal of 4684103424 is 4243014864.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918574 + ... + 6919250.

It is an arithmetic number, because the mean of its divisors is an integer number (32336080).

Almost surely, 2^4684103424 is an apocalyptic number.

4684103424 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 4684103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312791040).

4684103424 is an abundant number, since it is smaller than the sum of its proper divisors (13941478656).

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

4684103424 is a wasteful number, since it uses less digits than its factorization.

4684103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4684103424 is about 68440.5101091452. The cubic root of 4684103424 is about 1673.1780499950.

The spelling of 4684103424 in words is "four billion, six hundred eighty-four million, one hundred three thousand, four hundred twenty-four".