6766464418560 has 2880 divisors, whose sum is σ = 32822466969600. Its totient is φ = 1288153497600.

The previous prime is 6766464418559. The next prime is 6766464418573. The reversal of 6766464418560 is 658144646676.

It is a happy number.

6766464418560 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 4 + 64 + 4 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4702198321 + ... + 4702199759.

It is an arithmetic number, because the mean of its divisors is an integer number (11396689920).

Almost surely, 2^{6766464418560} is an apocalyptic number.

6766464418560 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 6766464418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411233484800).

6766464418560 is an abundant number, since it is smaller than the sum of its proper divisors (26056002551040).

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

6766464418560 is a wasteful number, since it uses less digits than its factorization.

6766464418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 6766464418560 in words is "six trillion, seven hundred sixty-six billion, four hundred sixty-four million, four hundred eighteen thousand, five hundred sixty".