6671623140 has 864 divisors, whose sum is σ = 28200856320. Its totient is φ = 1242169344.

The previous prime is 6671623139. The next prime is 6671623141. The reversal of 6671623140 is 413261766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6671623139) and next prime (6671623141).

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 = 6671623095 and 6671623104.

It is not an unprimeable number, because it can be changed into a prime (6671623141) 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 287 ways as a sum of consecutive naturals, for example, 68779572 + ... + 68779668.

It is an arithmetic number, because the mean of its divisors is an integer number (32639880).

Almost surely, 2^6671623140 is an apocalyptic number.

6671623140 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 6671623140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100428160).

6671623140 is an abundant number, since it is smaller than the sum of its proper divisors (21529233180).

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

6671623140 is a wasteful number, since it uses less digits than its factorization.

6671623140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6671623140 is about 81680.0045298725. The cubic root of 6671623140 is about 1882.5383642177.

The spelling of 6671623140 in words is "six billion, six hundred seventy-one million, six hundred twenty-three thousand, one hundred forty".