6835007712 has 192 divisors, whose sum is σ = 20775121920. Its totient is φ = 1949681664.

The previous prime is 6835007657. The next prime is 6835007761. The reversal of 6835007712 is 2177005386.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1111398 + ... + 1117530.

It is an arithmetic number, because the mean of its divisors is an integer number (108203760).

Almost surely, 2^6835007712 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 6835007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387560960).

6835007712 is an abundant number, since it is smaller than the sum of its proper divisors (13940114208).

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

6835007712 is a wasteful number, since it uses less digits than its factorization.

6835007712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6835007712 is about 82674.1054502557. The cubic root of 6835007712 is about 1897.7820575326.

The spelling of 6835007712 in words is "six billion, eight hundred thirty-five million, seven thousand, seven hundred twelve".