6003641504 has 96 divisors (see below), whose sum is σ = 13880160000. Its totient is φ = 2555024640.

The previous prime is 6003641473. The next prime is 6003641531. The reversal of 6003641504 is 4051463006.

It is a happy number.

It is a super-2 number, since 2×6003641504² = 72087422617102764032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633589 + ... + 1637259.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 2^6003641504 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 6003641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080000).

6003641504 is an abundant number, since it is smaller than the sum of its proper divisors (7876518496).

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

6003641504 is a wasteful number, since it uses less digits than its factorization.

6003641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 6003641504 is about 77483.1691659550. The cubic root of 6003641504 is about 1817.4881324816.

The spelling of 6003641504 in words is "six billion, three million, six hundred forty-one thousand, five hundred four".