7949410336 has 144 divisors (see below), whose sum is σ = 18963841176. Its totient is φ = 3267661824.

The previous prime is 7949410331. The next prime is 7949410349. The reversal of 7949410336 is 6330149497.

It can be written as a sum of positive squares in 4 ways, for example, as 7913169936 + 36240400 = 88956^2 + 6020^2 .

It is not an unprimeable number, because it can be changed into a prime (7949410331) 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 23 ways as a sum of consecutive naturals, for example, 4234230 + ... + 4236106.

Almost surely, 2^7949410336 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 7949410336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481920588).

7949410336 is an abundant number, since it is smaller than the sum of its proper divisors (11014430840).

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

7949410336 is a wasteful number, since it uses less digits than its factorization.

7949410336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 7949410336 is about 89159.4657678028. The cubic root of 7949410336 is about 1995.7752768073.

The spelling of 7949410336 in words is "seven billion, nine hundred forty-nine million, four hundred ten thousand, three hundred thirty-six".