6004396944 has 480 divisors, whose sum is σ = 22074777600. Its totient is φ = 1528450560.

The previous prime is 6004396939. The next prime is 6004396973. The reversal of 6004396944 is 4496934006.

It is a happy number.

6004396944 is a `hidden beast` number, since 600 + 4 + 39 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×6004396944² = 72105565322233078272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6004396944.

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 95 ways as a sum of consecutive naturals, for example, 15842547 + ... + 15842925.

It is an arithmetic number, because the mean of its divisors is an integer number (45989120).

Almost surely, 2^6004396944 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 6004396944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037388800).

6004396944 is an abundant number, since it is smaller than the sum of its proper divisors (16070380656).

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

6004396944 is a wasteful number, since it uses less digits than its factorization.

6004396944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6004396944 is about 77488.0438777493. The cubic root of 6004396944 is about 1817.5643609756.

The spelling of 6004396944 in words is "six billion, four million, three hundred ninety-six thousand, nine hundred forty-four".