7730106564560 has 80 divisors (see below), whose sum is σ = 18163443715200. Its totient is φ = 3059235571200.

The previous prime is 7730106564553. The next prime is 7730106564563. The reversal of 7730106564560 is 654656010377.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7730106564499 and 7730106564508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7730106564563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10961999 + ... + 11645841.

It is an arithmetic number, because the mean of its divisors is an integer number (227043046440).

Almost surely, 2^{7730106564560} 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 7730106564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081721857600).

7730106564560 is an abundant number, since it is smaller than the sum of its proper divisors (10433337150640).

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

7730106564560 is a wasteful number, since it uses less digits than its factorization.

7730106564560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685356 (or 685350 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 7730106564560 in words is "seven trillion, seven hundred thirty billion, one hundred six million, five hundred sixty-four thousand, five hundred sixty".