6448741992 has 512 divisors, whose sum is σ = 23357030400. Its totient is φ = 1600300800.

The previous prime is 6448741979. The next prime is 6448741993. The reversal of 6448741992 is 2991478446.

6448741992 is a `hidden beast` number, since 6 + 448 + 7 + 4 + 199 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (6448741993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50777433 + ... + 50777559.

It is an arithmetic number, because the mean of its divisors is an integer number (45619200).

Almost surely, 2^6448741992 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 6448741992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678515200).

6448741992 is an abundant number, since it is smaller than the sum of its proper divisors (16908288408).

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

6448741992 is a wasteful number, since it uses less digits than its factorization.

6448741992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6448741992 is about 80304.0596234088. The cubic root of 6448741992 is about 1861.3369576066.

The spelling of 6448741992 in words is "six billion, four hundred forty-eight million, seven hundred forty-one thousand, nine hundred ninety-two".