6735829072 has 80 divisors (see below), whose sum is σ = 15647212800. Its totient is φ = 2747888640.

The previous prime is 6735829039. The next prime is 6735829081. The reversal of 6735829072 is 2709285376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216004 + ... + 245212.

It is an arithmetic number, because the mean of its divisors is an integer number (195590160).

Almost surely, 2^6735829072 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 6735829072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823606400).

6735829072 is an abundant number, since it is smaller than the sum of its proper divisors (8911383728).

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

6735829072 is a wasteful number, since it uses less digits than its factorization.

6735829072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29324 (or 29318 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 6735829072 is about 82072.0967930027. The cubic root of 6735829072 is about 1888.5581111785.

The spelling of 6735829072 in words is "six billion, seven hundred thirty-five million, eight hundred twenty-nine thousand, seventy-two".