6729285120 has 160 divisors (see below), whose sum is σ = 21878778240. Its totient is φ = 1763942400.

The previous prime is 6729285107. The next prime is 6729285133. The reversal of 6729285120 is 215829276.

It is an interprime number because it is at equal distance from previous prime (6729285107) and next prime (6729285133).

It is a tau number, because it is divible by the number of its divisors (160).

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, 445695 + ... + 460545.

It is an arithmetic number, because the mean of its divisors is an integer number (136742364).

Almost surely, 2^6729285120 is an apocalyptic number.

6729285120 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 6729285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939389120).

6729285120 is an abundant number, since it is smaller than the sum of its proper divisors (15149493120).

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

6729285120 is a wasteful number, since it uses less digits than its factorization.

6729285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 6729285120 is about 82032.2200114077. The cubic root of 6729285120 is about 1887.9463261577.

The spelling of 6729285120 in words is "six billion, seven hundred twenty-nine million, two hundred eighty-five thousand, one hundred twenty".