5082424704 has 448 divisors, whose sum is σ = 17980462080. Its totient is φ = 1399680000.

The previous prime is 5082424693. The next prime is 5082424709. The reversal of 5082424704 is 4074242805.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082424709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20248579 + ... + 20248829.

It is an arithmetic number, because the mean of its divisors is an integer number (40134960).

Almost surely, 2^5082424704 is an apocalyptic number.

5082424704 is a gapful number since it is divisible by the number (54) 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 5082424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990231040).

5082424704 is an abundant number, since it is smaller than the sum of its proper divisors (12898037376).

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

5082424704 is an equidigital number, since it uses as much as digits as its factorization.

5082424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 5082424704 is about 71291.1264043429. The cubic root of 5082424704 is about 1719.3210660948.

The spelling of 5082424704 in words is "five billion, eighty-two million, four hundred twenty-four thousand, seven hundred four".