6616033040 has 80 divisors (see below), whose sum is σ = 15567128640. Its totient is φ = 2614801920.

The previous prime is 6616033037. The next prime is 6616033049. The reversal of 6616033040 is 403306166.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6616032994 and 6616033012.

It is not an unprimeable number, because it can be changed into a prime (6616033049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522930 + ... + 2525550.

It is an arithmetic number, because the mean of its divisors is an integer number (194589108).

Almost surely, 2^6616033040 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 6616033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783564320).

6616033040 is an abundant number, since it is smaller than the sum of its proper divisors (8951095600).

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

6616033040 is a wasteful number, since it uses less digits than its factorization.

6616033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 6616033040 is about 81339.0007315064. Note that the first 3 decimals coincide. The cubic root of 6616033040 is about 1877.2951369348.

The spelling of 6616033040 in words is "six billion, six hundred sixteen million, thirty-three thousand, forty".