6605144064 has 96 divisors (see below), whose sum is σ = 19082088090. Its totient is φ = 2201616384.

The previous prime is 6605144009. The next prime is 6605144089. The reversal of 6605144064 is 4604415066.

6605144064 is a `hidden beast` number, since 6 + 605 + 1 + 4 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3917758464 + 2687385600 = 62592^2 + 51840^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283714 + ... + 306110.

Almost surely, 2^6605144064 is an apocalyptic number.

6605144064 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 6605144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541044045).

6605144064 is an abundant number, since it is smaller than the sum of its proper divisors (12476944026).

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

6605144064 is an equidigital number, since it uses as much as digits as its factorization.

6605144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22433 (or 22402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6605144064 is about 81272.0374052478. The cubic root of 6605144064 is about 1876.2646580695.

The spelling of 6605144064 in words is "six billion, six hundred five million, one hundred forty-four thousand, sixty-four".