6448545792 has 306 divisors, whose sum is σ = 20777637062. Its totient is φ = 1915748352.

The previous prime is 6448545787. The next prime is 6448545797. The reversal of 6448545792 is 2975458446.

6448545792 is a `hidden beast` number, since 6 + 4 + 4 + 8 + 545 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (6448545787) and next prime (6448545797).

It can be written as a sum of positive squares in 3 ways, for example, as 312016896 + 6136528896 = 17664^2 + 78336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448545797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222363634 + ... + 222363662.

Almost surely, 2^6448545792 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 6448545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388818531).

6448545792 is an abundant number, since it is smaller than the sum of its proper divisors (14329091270).

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

6448545792 is an equidigital number, since it uses as much as digits as its factorization.

6448545792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6448545792 is about 80302.8380071340. The cubic root of 6448545792 is about 1861.3180806425.

The spelling of 6448545792 in words is "six billion, four hundred forty-eight million, five hundred forty-five thousand, seven hundred ninety-two".