6641265656256 has 448 divisors, whose sum is σ = 22031082501120. Its totient is φ = 1715302563840.

The previous prime is 6641265656251. The next prime is 6641265656273. The reversal of 6641265656256 is 6526565621466.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×6641265656256³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6641265656256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641265656251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2921805136 + ... + 2921807408.

It is an arithmetic number, because the mean of its divisors is an integer number (49176523440).

Almost surely, 2^{6641265656256} is an apocalyptic number.

6641265656256 is a gapful number since it is divisible by the number (66) 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 6641265656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015541250560).

6641265656256 is an abundant number, since it is smaller than the sum of its proper divisors (15389816844864).

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

6641265656256 is a wasteful number, since it uses less digits than its factorization.

6641265656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3322 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 60.

The spelling of 6641265656256 in words is "six trillion, six hundred forty-one billion, two hundred sixty-five million, six hundred fifty-six thousand, two hundred fifty-six".