6791459668800 has 168 divisors, whose sum is σ = 22327407817536. Its totient is φ = 1807336488960.

The previous prime is 6791459668769. The next prime is 6791459668831. The reversal of 6791459668800 is 88669541976.

It is an interprime number because it is at equal distance from previous prime (6791459668769) and next prime (6791459668831).

It is a super-2 number, since 2×6791459668800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884944 + ... + 3790256.

Almost surely, 2^{6791459668800} is an apocalyptic number.

6791459668800 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 6791459668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163703908768).

6791459668800 is an abundant number, since it is smaller than the sum of its proper divisors (15535948148736).

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

6791459668800 is a wasteful number, since it uses less digits than its factorization.

6791459668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905825 (or 2905810 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 6791459668800 in words is "six trillion, seven hundred ninety-one billion, four hundred fifty-nine million, six hundred sixty-eight thousand, eight hundred".