6613830144 has 480 divisors, whose sum is σ = 21716735040. Its totient is φ = 2001272832.

The previous prime is 6613830133. The next prime is 6613830163. The reversal of 6613830144 is 4410383166.

It is a happy number.

6613830144 is a `hidden beast` number, since 6 + 613 + 8 + 30 + 1 + 4 + 4 = 666.

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 = 6613830099 and 6613830108.

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 47 ways as a sum of consecutive naturals, for example, 112098787 + ... + 112098845.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198).

Almost surely, 2^6613830144 is an apocalyptic number.

6613830144 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 6613830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858367520).

6613830144 is an abundant number, since it is smaller than the sum of its proper divisors (15102904896).

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

6613830144 is an equidigital number, since it uses as much as digits as its factorization.

6613830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6613830144 is about 81325.4581542582. The cubic root of 6613830144 is about 1877.0867570291.

The spelling of 6613830144 in words is "six billion, six hundred thirteen million, eight hundred thirty thousand, one hundred forty-four".