6448386672 has 600 divisors, whose sum is σ = 23922437616. Its totient is φ = 1661700096.

The previous prime is 6448386667. The next prime is 6448386673. The reversal of 6448386672 is 2766838446.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448386673) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60265243 + ... + 60265349.

Almost surely, 2^6448386672 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 6448386672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961218808).

6448386672 is an abundant number, since it is smaller than the sum of its proper divisors (17474050944).

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

6448386672 is a wasteful number, since it uses less digits than its factorization.

6448386672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 6448386672 is about 80301.8472514798. The cubic root of 6448386672 is about 1861.3027709701.

The spelling of 6448386672 in words is "six billion, four hundred forty-eight million, three hundred eighty-six thousand, six hundred seventy-two".