6826355100 has 216 divisors, whose sum is σ = 22795259760. Its totient is φ = 1702717440.

The previous prime is 6826355087. The next prime is 6826355143. The reversal of 6826355100 is 15536286.

6826355100 is a `hidden beast` number, since 6 + 8 + 2 + 635 + 5 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2645611 + ... + 2648189.

It is an arithmetic number, because the mean of its divisors is an integer number (105533610).

Almost surely, 2^6826355100 is an apocalyptic number.

6826355100 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 6826355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11397629880).

6826355100 is an abundant number, since it is smaller than the sum of its proper divisors (15968904660).

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

6826355100 is a wasteful number, since it uses less digits than its factorization.

6826355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6826355100 is about 82621.7592405294. The cubic root of 6826355100 is about 1896.9809023361.

The spelling of 6826355100 in words is "six billion, eight hundred twenty-six million, three hundred fifty-five thousand, one hundred".