6826178880 has 224 divisors, whose sum is σ = 24274759680. Its totient is φ = 1805690880.

The previous prime is 6826178867. The next prime is 6826178881. The reversal of 6826178880 is 888716286.

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 (6826178881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094170 + ... + 1100390.

Almost surely, 2^6826178880 is an apocalyptic number.

6826178880 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 6826178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137379840).

6826178880 is an abundant number, since it is smaller than the sum of its proper divisors (17448580800).

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

6826178880 is a wasteful number, since it uses less digits than its factorization.

6826178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 6826178880 is about 82620.6928075528. The cubic root of 6826178880 is about 1896.9645788933.

The spelling of 6826178880 in words is "six billion, eight hundred twenty-six million, one hundred seventy-eight thousand, eight hundred eighty".