6826528800 has 1152 divisors, whose sum is σ = 31917957120. Its totient is φ = 1368576000.

The previous prime is 6826528799. The next prime is 6826528847. The reversal of 6826528800 is 88256286.

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 191 ways as a sum of consecutive naturals, for example, 45208725 + ... + 45208875.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^6826528800 is an apocalyptic number.

6826528800 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 6826528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

6826528800 is an abundant number, since it is smaller than the sum of its proper divisors (25091428320).

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

6826528800 is a wasteful number, since it uses less digits than its factorization.

6826528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6826528800 is about 82622.8104097168. The cubic root of 6826528800 is about 1896.9969920737.

The spelling of 6826528800 in words is "six billion, eight hundred twenty-six million, five hundred twenty-eight thousand, eight hundred".