6679332126720 has 1280 divisors, whose sum is σ = 27106586496000. Its totient is φ = 1544678277120.

The previous prime is 6679332126713. The next prime is 6679332126721. The reversal of 6679332126720 is 276212339766.

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

It is a super-2 number, since 2×6679332126720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6679332126721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17907056454 + ... + 17907056826.

It is an arithmetic number, because the mean of its divisors is an integer number (21177020700).

Almost surely, 2^{6679332126720} is an apocalyptic number.

6679332126720 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 6679332126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553293248000).

6679332126720 is an abundant number, since it is smaller than the sum of its proper divisors (20427254369280).

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

6679332126720 is an equidigital number, since it uses as much as digits as its factorization.

6679332126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 6679332126720 in words is "six trillion, six hundred seventy-nine billion, three hundred thirty-two million, one hundred twenty-six thousand, seven hundred twenty".