6768352800 has 648 divisors, whose sum is σ = 27837819828. Its totient is φ = 1540915200.

The previous prime is 6768352793. The next prime is 6768352813. The reversal of 6768352800 is 82538676.

6768352800 is a `hidden beast` number, since 67 + 68 + 3 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4765969296 + 2002383504 = 69036^2 + 44748^2 .

It is a super-4 number, since 4×6768352800⁴ (a number of 40 digits) contains 4444 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14810172 + ... + 14810628.

Almost surely, 2^6768352800 is an apocalyptic number.

6768352800 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 6768352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918909914).

6768352800 is an abundant number, since it is smaller than the sum of its proper divisors (21069467028).

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

6768352800 is a wasteful number, since it uses less digits than its factorization.

6768352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6768352800 is about 82269.9993922450. Note that the first 3 decimals coincide. The cubic root of 6768352800 is about 1891.5928455045.

The spelling of 6768352800 in words is "six billion, seven hundred sixty-eight million, three hundred fifty-two thousand, eight hundred".