6666766560 has 240 divisors, whose sum is σ = 24165763776. Its totient is φ = 1729631232.

The previous prime is 6666766549. The next prime is 6666766577. The reversal of 6666766560 is 656676666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6666766497 and 6666766506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472569 + ... + 486471.

Almost surely, 2^6666766560 is an apocalyptic number.

6666766560 is a gapful number since it is divisible by the number (60) 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 6666766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082881888).

6666766560 is an abundant number, since it is smaller than the sum of its proper divisors (17498997216).

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

6666766560 is a wasteful number, since it uses less digits than its factorization.

6666766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The square root of 6666766560 is about 81650.2698097196. The cubic root of 6666766560 is about 1882.0814580377.

The spelling of 6666766560 in words is "six billion, six hundred sixty-six million, seven hundred sixty-six thousand, five hundred sixty".