6671124000 has 144 divisors (see below), whose sum is σ = 23675946840. Its totient is φ = 1778956800.

The previous prime is 6671123993. The next prime is 6671124001. The reversal of 6671124000 is 4211766.

It can be written as a sum of positive squares in 4 ways, for example, as 3209449104 + 3461674896 = 56652^2 + 58836^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6671124001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56655 + ... + 128654.

Almost surely, 2^6671124000 is an apocalyptic number.

6671124000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6671124000 is an abundant number, since it is smaller than the sum of its proper divisors (17004822840).

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

6671124000 is a wasteful number, since it uses less digits than its factorization.

6671124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185340 (or 185319 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6671124000 is about 81676.9490125580. The cubic root of 6671124000 is about 1882.4914154410.

Adding to 6671124000 its reverse (4211766), we get a palindrome (6675335766).

The spelling of 6671124000 in words is "six billion, six hundred seventy-one million, one hundred twenty-four thousand".