6166536320 has 160 divisors (see below), whose sum is σ = 17202117420. Its totient is φ = 2113714176.

The previous prime is 6166536287. The next prime is 6166536329. The reversal of 6166536320 is 236356616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6085248064 + 81288256 = 78008^2 + 9016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6166536329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1534634 + ... + 1538646.

Almost surely, 2^6166536320 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 6166536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601058710).

6166536320 is an abundant number, since it is smaller than the sum of its proper divisors (11035581100).

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

6166536320 is an frugal number, since it uses more digits than its factorization.

6166536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 6166536320 is about 78527.2966553669. The cubic root of 6166536320 is about 1833.7794346562.

The spelling of 6166536320 in words is "six billion, one hundred sixty-six million, five hundred thirty-six thousand, three hundred twenty".