6561768944024 has 512 divisors, whose sum is σ = 15977851084800. Its totient is φ = 2462830755840.

The previous prime is 6561768944011. The next prime is 6561768944053. The reversal of 6561768944024 is 4204498671656.

It is a Cunningham number, because it is equal to 2561595²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23351490764 + ... + 23351491044.

It is an arithmetic number, because the mean of its divisors is an integer number (31206740400).

Almost surely, 2^{6561768944024} 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 6561768944024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988925542400).

6561768944024 is an abundant number, since it is smaller than the sum of its proper divisors (9416082140776).

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

6561768944024 is a wasteful number, since it uses less digits than its factorization.

6561768944024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 62.

The spelling of 6561768944024 in words is "six trillion, five hundred sixty-one billion, seven hundred sixty-eight million, nine hundred forty-four thousand, twenty-four".