6511646745648 has 240 divisors, whose sum is σ = 20073312324000. Its totient is φ = 1954143313920.

The previous prime is 6511646745601. The next prime is 6511646745679. The reversal of 6511646745648 is 8465476461156.

6511646745648 is a `hidden beast` number, since 6 + 5 + 1 + 1 + 6 + 4 + 67 + 4 + 564 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79496458 + ... + 79578326.

It is an arithmetic number, because the mean of its divisors is an integer number (83638801350).

Almost surely, 2^{6511646745648} 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 6511646745648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036656162000).

6511646745648 is an abundant number, since it is smaller than the sum of its proper divisors (13561665578352).

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

6511646745648 is a wasteful number, since it uses less digits than its factorization.

6511646745648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82380 (or 82371 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 6511646745648 in words is "six trillion, five hundred eleven billion, six hundred forty-six million, seven hundred forty-five thousand, six hundred forty-eight".