6448143624 has 96 divisors (see below), whose sum is σ = 17927968320. Its totient is φ = 1930376448.

The previous prime is 6448143619. The next prime is 6448143641. The reversal of 6448143624 is 4263418446.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128589 + ... + 171555.

It is an arithmetic number, because the mean of its divisors is an integer number (186749670).

Almost surely, 2^6448143624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448143624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963984160).

6448143624 is an abundant number, since it is smaller than the sum of its proper divisors (11479824696).

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

6448143624 is a wasteful number, since it uses less digits than its factorization.

6448143624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43039 (or 43022 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 6448143624 is about 80300.3338971887. Note that the first 3 decimals coincide. The cubic root of 6448143624 is about 1861.2793857100.

The spelling of 6448143624 in words is "six billion, four hundred forty-eight million, one hundred forty-three thousand, six hundred twenty-four".