6448195680 has 192 divisors, whose sum is σ = 21467980800. Its totient is φ = 1622384640.

The previous prime is 6448195673. The next prime is 6448195681. The reversal of 6448195680 is 865918446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448195681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470216 + ... + 2472824.

It is an arithmetic number, because the mean of its divisors is an integer number (111812400).

Almost surely, 2^6448195680 is an apocalyptic number.

6448195680 is a gapful number since it is divisible by the number (60) 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 6448195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733990400).

6448195680 is an abundant number, since it is smaller than the sum of its proper divisors (15019785120).

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

6448195680 is a wasteful number, since it uses less digits than its factorization.

6448195680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 6448195680 is about 80300.6580296824. The cubic root of 6448195680 is about 1861.2843944125.

The spelling of 6448195680 in words is "six billion, four hundred forty-eight million, one hundred ninety-five thousand, six hundred eighty".