6668042040 has 256 divisors, whose sum is σ = 24416640000. Its totient is φ = 1605219840.

The previous prime is 6668042021. The next prime is 6668042041. The reversal of 6668042040 is 402408666.

It is a happy number.

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 = 6668041986 and 6668042004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668042041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768237 + ... + 1772003.

It is an arithmetic number, because the mean of its divisors is an integer number (95377500).

Almost surely, 2^6668042040 is an apocalyptic number.

6668042040 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 6668042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208320000).

6668042040 is an abundant number, since it is smaller than the sum of its proper divisors (17748597960).

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

6668042040 is a wasteful number, since it uses less digits than its factorization.

6668042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3937 counting only the distinct ones).

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

The square root of 6668042040 is about 81658.0800656004. The cubic root of 6668042040 is about 1882.2014764485.

The spelling of 6668042040 in words is "six billion, six hundred sixty-eight million, forty-two thousand, forty".