6835387104000 has 5184 divisors, whose sum is σ = 33939004095360. Its totient is φ = 1304277811200.

The previous prime is 6835387103903. The next prime is 6835387104043. The reversal of 6835387104000 is 4017835386.

6835387104000 is a `hidden beast` number, since 6 + 8 + 3 + 538 + 7 + 104 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 128969567974 + ... + 128969568026.

It is an arithmetic number, because the mean of its divisors is an integer number (6546875790).

Almost surely, 2^{6835387104000} is an apocalyptic number.

6835387104000 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 6835387104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969502047680).

6835387104000 is an abundant number, since it is smaller than the sum of its proper divisors (27103616991360).

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

6835387104000 is a wasteful number, since it uses less digits than its factorization.

6835387104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6835387104000 in words is "six trillion, eight hundred thirty-five billion, three hundred eighty-seven million, one hundred four thousand".