6605825040 has 120 divisors (see below), whose sum is σ = 22207250520. Its totient is φ = 1759752192.

The previous prime is 6605825029. The next prime is 6605825047. The reversal of 6605825040 is 405285066.

6605825040 is a `hidden beast` number, since 6 + 605 + 8 + 2 + 5 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110754576 + 6495070464 = 10524^2 + 80592^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 6605824986 and 6605825004.

It is not an unprimeable number, because it can be changed into a prime (6605825047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794344 + ... + 802616.

It is an arithmetic number, because the mean of its divisors is an integer number (185060421).

Almost surely, 2^6605825040 is an apocalyptic number.

6605825040 is a gapful number since it is divisible by the number (60) 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 6605825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103625260).

6605825040 is an abundant number, since it is smaller than the sum of its proper divisors (15601425480).

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

6605825040 is a wasteful number, since it uses less digits than its factorization.

6605825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6605825040 is about 81276.2267824977. The cubic root of 6605825040 is about 1876.3291354568.

The spelling of 6605825040 in words is "six billion, six hundred five million, eight hundred twenty-five thousand, forty".