6604038144 has 336 divisors, whose sum is σ = 22081662720. Its totient is φ = 1879572480.

The previous prime is 6604038131. The next prime is 6604038167. The reversal of 6604038144 is 4418304066.

6604038144 is a `hidden beast` number, since 6 + 604 + 0 + 3 + 8 + 1 + 44 = 666.

It is a super-2 number, since 2×6604038144² = 87226639614813929472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6604038099 and 6604038108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13786897 + ... + 13787375.

Almost surely, 2^6604038144 is an apocalyptic number.

6604038144 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 6604038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040831360).

6604038144 is an abundant number, since it is smaller than the sum of its proper divisors (15477624576).

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

6604038144 is a wasteful number, since it uses less digits than its factorization.

6604038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6604038144 is about 81265.2333042858. The cubic root of 6604038144 is about 1876.1599359313.

The spelling of 6604038144 in words is "six billion, six hundred four million, thirty-eight thousand, one hundred forty-four".