6760288016960 has 112 divisors (see below), whose sum is σ = 16175502645120. Its totient is φ = 2691095470080.

The previous prime is 6760288016939. The next prime is 6760288016971. The reversal of 6760288016960 is 696108820676.

It is a self number, because there is not a number n which added to its sum of digits gives 6760288016960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189499925 + ... + 189535595.

It is an arithmetic number, because the mean of its divisors is an integer number (144424130760).

Almost surely, 2^{6760288016960} 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 6760288016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087751322560).

6760288016960 is an abundant number, since it is smaller than the sum of its proper divisors (9415214628160).

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

6760288016960 is a wasteful number, since it uses less digits than its factorization.

6760288016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38524 (or 38514 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 6760288016960 in words is "six trillion, seven hundred sixty billion, two hundred eighty-eight million, sixteen thousand, nine hundred sixty".