6760424133120 has 1280 divisors, whose sum is σ = 26955691868160. Its totient is φ = 1410849570816.

The previous prime is 6760424133091. The next prime is 6760424133149. The reversal of 6760424133120 is 213314240676.

It is an interprime number because it is at equal distance from previous prime (6760424133091) and next prime (6760424133149).

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4270639849 + ... + 4270641431.

It is an arithmetic number, because the mean of its divisors is an integer number (21059134272).

Almost surely, 2^{6760424133120} is an apocalyptic number.

6760424133120 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 6760424133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13477845934080).

6760424133120 is an abundant number, since it is smaller than the sum of its proper divisors (20195267735040).

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

6760424133120 is a wasteful number, since it uses less digits than its factorization.

6760424133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 6760424133120 its reverse (213314240676), we get a palindrome (6973738373796).

The spelling of 6760424133120 in words is "six trillion, seven hundred sixty billion, four hundred twenty-four million, one hundred thirty-three thousand, one hundred twenty".