6826129106220 has 144 divisors (see below), whose sum is σ = 20752510353120. Its totient is φ = 1816208529408.

The previous prime is 6826129106177. The next prime is 6826129106239. The reversal of 6826129106220 is 226019216286.

6826129106220 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 1 + 2 + 9 + 10 + 622 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 256868854 + ... + 256895426.

It is an arithmetic number, because the mean of its divisors is an integer number (144114655230).

Almost surely, 2^{6826129106220} is an apocalyptic number.

6826129106220 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 6826129106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376255176560).

6826129106220 is an abundant number, since it is smaller than the sum of its proper divisors (13926381246900).

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

6826129106220 is a wasteful number, since it uses less digits than its factorization.

6826129106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29744 (or 29739 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6826129106220 in words is "six trillion, eight hundred twenty-six billion, one hundred twenty-nine million, one hundred six thousand, two hundred twenty".