6505973563760 has 240 divisors, whose sum is σ = 18172460388096. Its totient is φ = 2154814464000.

The previous prime is 6505973563721. The next prime is 6505973563781. The reversal of 6505973563760 is 673653795056.

It is a Cunningham number, because it is equal to 2550681²-1.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 6505973563693 and 6505973563702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463690 + ... + 5739030.

Almost surely, 2^{6505973563760} 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 6505973563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086230194048).

6505973563760 is an abundant number, since it is smaller than the sum of its proper divisors (11666486824336).

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

6505973563760 is a wasteful number, since it uses less digits than its factorization.

6505973563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275424 (or 1275407 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 62.

The spelling of 6505973563760 in words is "six trillion, five hundred five billion, nine hundred seventy-three million, five hundred sixty-three thousand, seven hundred sixty".