6495439408128 has 792 divisors, whose sum is σ = 21508033339728. Its totient is φ = 1871880192000.

The previous prime is 6495439408123. The next prime is 6495439408141. The reversal of 6495439408128 is 8218049345946.

6495439408128 is a `hidden beast` number, since 6 + 4 + 9 + 543 + 9 + 4 + 0 + 81 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (6495439408123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5942761950 + ... + 5942763042.

Almost surely, 2^{6495439408128} 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 6495439408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754016669864).

6495439408128 is an abundant number, since it is smaller than the sum of its proper divisors (15012593931600).

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

6495439408128 is a wasteful number, since it uses less digits than its factorization.

6495439408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6495439408128 in words is "six trillion, four hundred ninety-five billion, four hundred thirty-nine million, four hundred eight thousand, one hundred twenty-eight".