6455517328 has 80 divisors (see below), whose sum is σ = 13603070320. Its totient is φ = 2950152192.

The previous prime is 6455517323. The next prime is 6455517331. The reversal of 6455517328 is 8237155546.

It can be written as a sum of positive squares in 8 ways, for example, as 1537580944 + 4917936384 = 39212^2 + 70128^2 .

It is not an unprimeable number, because it can be changed into a prime (6455517323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14908600 + ... + 14909032.

It is an arithmetic number, because the mean of its divisors is an integer number (170038379).

Almost surely, 2^6455517328 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 6455517328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801535160).

6455517328 is an abundant number, since it is smaller than the sum of its proper divisors (7147552992).

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

6455517328 is a wasteful number, since it uses less digits than its factorization.

6455517328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The square root of 6455517328 is about 80346.2340623380. The cubic root of 6455517328 is about 1861.9885973251.

The spelling of 6455517328 in words is "six billion, four hundred fifty-five million, five hundred seventeen thousand, three hundred twenty-eight".