6481225344 has 128 divisors (see below), whose sum is σ = 19046223360. Its totient is φ = 1936256000.

The previous prime is 6481225327. The next prime is 6481225349. The reversal of 6481225344 is 4435221846.

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

It is not an unprimeable number, because it can be changed into a prime (6481225349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 289099 + ... + 310709.

It is an arithmetic number, because the mean of its divisors is an integer number (148798620).

Almost surely, 2^6481225344 is an apocalyptic number.

6481225344 is a gapful number since it is divisible by the number (64) 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 6481225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523111680).

6481225344 is an abundant number, since it is smaller than the sum of its proper divisors (12564998016).

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

6481225344 is a wasteful number, since it uses less digits than its factorization.

6481225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21710 (or 21698 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 6481225344 is about 80506.0578093351. The cubic root of 6481225344 is about 1864.4570093977.

The spelling of 6481225344 in words is "six billion, four hundred eighty-one million, two hundred twenty-five thousand, three hundred forty-four".