6733830688 has 144 divisors (see below), whose sum is σ = 14977831176. Its totient is φ = 2976030720.

The previous prime is 6733830673. The next prime is 6733830707. The reversal of 6733830688 is 8860383376.

It can be written as a sum of positive squares in 12 ways, for example, as 196784784 + 6537045904 = 14028^2 + 80852^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14606778 + ... + 14607238.

Almost surely, 2^6733830688 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 6733830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488915588).

6733830688 is an abundant number, since it is smaller than the sum of its proper divisors (8244000488).

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

6733830688 is a wasteful number, since it uses less digits than its factorization.

6733830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The square root of 6733830688 is about 82059.9213258214. The cubic root of 6733830688 is about 1888.3713270641.

The spelling of 6733830688 in words is "six billion, seven hundred thirty-three million, eight hundred thirty thousand, six hundred eighty-eight".