6674333040 has 160 divisors (see below), whose sum is σ = 23024151360. Its totient is φ = 1777130496.

The previous prime is 6674332967. The next prime is 6674333041. The reversal of 6674333040 is 403334766.

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 = 6674332986 and 6674333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674333041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719582 + ... + 1723458.

It is an arithmetic number, because the mean of its divisors is an integer number (143900946).

Almost surely, 2^6674333040 is an apocalyptic number.

6674333040 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 6674333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512075680).

6674333040 is an abundant number, since it is smaller than the sum of its proper divisors (16349818320).

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

6674333040 is a wasteful number, since it uses less digits than its factorization.

6674333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 6674333040 is about 81696.5913609619. The cubic root of 6674333040 is about 1882.7932147515.

The spelling of 6674333040 in words is "six billion, six hundred seventy-four million, three hundred thirty-three thousand, forty".