6167728240 has 80 divisors (see below), whose sum is σ = 14527320192. Its totient is φ = 2435035392.

The previous prime is 6167728199. The next prime is 6167728241. The reversal of 6167728240 is 428277616.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6167728241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2626747 + ... + 2629093.

Almost surely, 2^6167728240 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 6167728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263660096).

6167728240 is an abundant number, since it is smaller than the sum of its proper divisors (8359591952).

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

6167728240 is a wasteful number, since it uses less digits than its factorization.

6167728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 6167728240 is about 78534.8854968287. The cubic root of 6167728240 is about 1833.8975764817.

The spelling of 6167728240 in words is "six billion, one hundred sixty-seven million, seven hundred twenty-eight thousand, two hundred forty".