6540675160656 has 800 divisors, whose sum is σ = 21819949544960. Its totient is φ = 1677627334656.

The previous prime is 6540675160651. The next prime is 6540675160661. The reversal of 6540675160656 is 6560615760456.

It is an interprime number because it is at equal distance from previous prime (6540675160651) and next prime (6540675160661).

It is a junction number, because it is equal to n+sod(n) for n = 6540675160596 and 6540675160605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540675160651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8640257430 + ... + 8640258186.

Almost surely, 2^{6540675160656} 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 6540675160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909974772480).

6540675160656 is an abundant number, since it is smaller than the sum of its proper divisors (15279274384304).

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

6540675160656 is a wasteful number, since it uses less digits than its factorization.

6540675160656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 57.

The spelling of 6540675160656 in words is "six trillion, five hundred forty billion, six hundred seventy-five million, one hundred sixty thousand, six hundred fifty-six".