6009479424 has 252 divisors, whose sum is σ = 19376279916. Its totient is φ = 1848324096.

The previous prime is 6009479419. The next prime is 6009479503. The reversal of 6009479424 is 4249749006.

It can be written as a sum of positive squares in 2 ways, for example, as 1866240000 + 4143239424 = 43200^2 + 64368^2 .

It is a super-3 number, since 3×6009479424³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6009479424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2424874 + ... + 2427350.

Almost surely, 2^6009479424 is an apocalyptic number.

6009479424 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 6009479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688139958).

6009479424 is an abundant number, since it is smaller than the sum of its proper divisors (13366800492).

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

6009479424 is an equidigital number, since it uses as much as digits as its factorization.

6009479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6009479424 is about 77520.8321936755. The cubic root of 6009479424 is about 1818.0770480041.

The spelling of 6009479424 in words is "six billion, nine million, four hundred seventy-nine thousand, four hundred twenty-four".