6768199526400 has 432 divisors, whose sum is σ = 26103858269580. Its totient is φ = 1666016870400.

The previous prime is 6768199526383. The next prime is 6768199526479. The reversal of 6768199526400 is 46259918676.

6768199526400 is a `hidden beast` number, since 6 + 7 + 68 + 1 + 9 + 9 + 526 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3256263558144 + 3511935968256 = 1804512^2 + 1874016^2 .

It is a super-2 number, since 2×6768199526400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5425480 + ... + 6555320.

Almost surely, 2^{6768199526400} is an apocalyptic number.

6768199526400 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 6768199526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051929134790).

6768199526400 is an abundant number, since it is smaller than the sum of its proper divisors (19335658743180).

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

6768199526400 is a wasteful number, since it uses less digits than its factorization.

6768199526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129892 (or 1129864 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 6768199526400 in words is "six trillion, seven hundred sixty-eight billion, one hundred ninety-nine million, five hundred twenty-six thousand, four hundred".