6829877135880 has 256 divisors, whose sum is σ = 22884530054400. Its totient is φ = 1811856384000.

The previous prime is 6829877135777. The next prime is 6829877135899. The reversal of 6829877135880 is 885317789286.

6829877135880 is a `hidden beast` number, since 6 + 8 + 29 + 8 + 7 + 7 + 13 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6829877135799 and 6829877135808.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 231216472 + ... + 231246008.

It is an arithmetic number, because the mean of its divisors is an integer number (89392695525).

Almost surely, 2^{6829877135880} is an apocalyptic number.

6829877135880 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 6829877135880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442265027200).

6829877135880 is an abundant number, since it is smaller than the sum of its proper divisors (16054652918520).

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

6829877135880 is a wasteful number, since it uses less digits than its factorization.

6829877135880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30661 (or 30651 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 6829877135880 in words is "six trillion, eight hundred twenty-nine billion, eight hundred seventy-seven million, one hundred thirty-five thousand, eight hundred eighty".