6004509640 has 16 divisors (see below), whose sum is σ = 13510146780. Its totient is φ = 2401803840.

The previous prime is 6004509619. The next prime is 6004509659. The reversal of 6004509640 is 469054006.

It can be written as a sum of positive squares in 2 ways, for example, as 5512468516 + 492041124 = 74246^2 + 22182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6004509596 and 6004509605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75056331 + ... + 75056410.

Almost surely, 2^6004509640 is an apocalyptic number.

It is an amenable number.

6004509640 is an abundant number, since it is smaller than the sum of its proper divisors (7505637140).

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

6004509640 is a wasteful number, since it uses less digits than its factorization.

6004509640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150112752 (or 150112748 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6004509640 is about 77488.7710574894. The cubic root of 6004509640 is about 1817.5757321398.

The spelling of 6004509640 in words is "six billion, four million, five hundred nine thousand, six hundred forty".