6166242304 has 44 divisors (see below), whose sum is σ = 12448715868. Its totient is φ = 3052544000.

The previous prime is 6166242263. The next prime is 6166242307. The reversal of 6166242304 is 4032426616.

It can be written as a sum of positive squares in 2 ways, for example, as 5607014400 + 559227904 = 74880^2 + 23648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6166242304.

It is not an unprimeable number, because it can be changed into a prime (6166242307) 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 3 ways as a sum of consecutive naturals, for example, 73614 + ... + 133234.

Almost surely, 2^6166242304 is an apocalyptic number.

6166242304 is a gapful number since it is divisible by the number (64) 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 6166242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224357934).

6166242304 is an abundant number, since it is smaller than the sum of its proper divisors (6282473564).

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

6166242304 is a wasteful number, since it uses less digits than its factorization.

6166242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59742 (or 59724 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 6166242304 is about 78525.4245706446. The cubic root of 6166242304 is about 1833.7502897665.

The spelling of 6166242304 in words is "six billion, one hundred sixty-six million, two hundred forty-two thousand, three hundred four".