6684042240 has 440 divisors, whose sum is σ = 24396178752. Its totient is φ = 1749565440.

The previous prime is 6684042229. The next prime is 6684042251. The reversal of 6684042240 is 422404866.

It is a happy number.

6684042240 is a `hidden beast` number, since 6 + 6 + 8 + 404 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (6684042229) and next prime (6684042251).

It is a super-2 number, since 2×6684042240² = 89352841332208435200, which contains 22 as substring.

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 = 6684042195 and 6684042204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29445007 + ... + 29445233.

Almost surely, 2^6684042240 is an apocalyptic number.

6684042240 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 6684042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198089376).

6684042240 is an abundant number, since it is smaller than the sum of its proper divisors (17712136512).

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

6684042240 is a wasteful number, since it uses less digits than its factorization.

6684042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6684042240 is about 81755.9920739758. The cubic root of 6684042240 is about 1883.7057433248.

The spelling of 6684042240 in words is "six billion, six hundred eighty-four million, forty-two thousand, two hundred forty".