6834666720 has 192 divisors, whose sum is σ = 25398890496. Its totient is φ = 1511792640.

The previous prime is 6834666703. The next prime is 6834666743. The reversal of 6834666720 is 276664386.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6834666720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71352 + ... + 136968.

It is an arithmetic number, because the mean of its divisors is an integer number (132285888).

Almost surely, 2^6834666720 is an apocalyptic number.

6834666720 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 6834666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699445248).

6834666720 is an abundant number, since it is smaller than the sum of its proper divisors (18564223776).

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

6834666720 is a wasteful number, since it uses less digits than its factorization.

6834666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65673 (or 65665 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 6834666720 is about 82672.0431584946. The cubic root of 6834666720 is about 1897.7504974970.

It can be divided in two parts, 6834666 and 720, that added together give a palindrome (6835386).

The spelling of 6834666720 in words is "six billion, eight hundred thirty-four million, six hundred sixty-six thousand, seven hundred twenty".