6835834631808 has 576 divisors, whose sum is σ = 24584788500480. Its totient is φ = 1784971468800.

The previous prime is 6835834631807. The next prime is 6835834631831. The reversal of 6835834631808 is 8081364385386.

It is a happy number.

6835834631808 is a `hidden beast` number, since 6 + 8 + 3 + 583 + 46 + 3 + 1 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6835834631808² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6835834631803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137619585 + ... + 137669247.

It is an arithmetic number, because the mean of its divisors is an integer number (42681924480).

Almost surely, 2^{6835834631808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6835834631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292394250240).

6835834631808 is an abundant number, since it is smaller than the sum of its proper divisors (17748953868672).

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

6835834631808 is a wasteful number, since it uses less digits than its factorization.

6835834631808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49817 (or 49789 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 6835834631808 in words is "six trillion, eight hundred thirty-five billion, eight hundred thirty-four million, six hundred thirty-one thousand, eight hundred eight".