6760676221200 has 1440 divisors, whose sum is σ = 28246632099840. Its totient is φ = 1530942336000.

The previous prime is 6760676221183. The next prime is 6760676221253. The reversal of 6760676221200 is 21226760676.

6760676221200 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 6 + 7 + 622 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×6760676221200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1292422585 + ... + 1292427815.

It is an arithmetic number, because the mean of its divisors is an integer number (19615716736).

Almost surely, 2^{6760676221200} is an apocalyptic number.

6760676221200 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 6760676221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14123316049920).

6760676221200 is an abundant number, since it is smaller than the sum of its proper divisors (21485955878640).

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

6760676221200 is a wasteful number, since it uses less digits than its factorization.

6760676221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6760676221200 in words is "six trillion, seven hundred sixty billion, six hundred seventy-six million, two hundred twenty-one thousand, two hundred".