6835838112000 has 432 divisors, whose sum is σ = 24608314851120. Its totient is φ = 1822076928000.

The previous prime is 6835838111951. The next prime is 6835838112011. The reversal of 6835838112000 is 2118385386.

6835838112000 is a `hidden beast` number, since 68 + 3 + 5 + 8 + 381 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 296075280384 + 6539762831616 = 544128^2 + 2557296^2 .

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, 927644316 + ... + 927651684.

It is an arithmetic number, because the mean of its divisors is an integer number (56963691785).

Almost surely, 2^{6835838112000} is an apocalyptic number.

6835838112000 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 6835838112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304157425560).

6835838112000 is an abundant number, since it is smaller than the sum of its proper divisors (17772476739120).

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

6835838112000 is a wasteful number, since it uses less digits than its factorization.

6835838112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6835838112000 in words is "six trillion, eight hundred thirty-five billion, eight hundred thirty-eight million, one hundred twelve thousand".