6671185920 has 576 divisors, whose sum is σ = 27474370560. Its totient is φ = 1520861184.

The previous prime is 6671185919. The next prime is 6671185933. The reversal of 6671185920 is 295811766.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418049 + ... + 17418431.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^6671185920 is an apocalyptic number.

6671185920 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 6671185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280).

6671185920 is an abundant number, since it is smaller than the sum of its proper divisors (20803184640).

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

6671185920 is an equidigital number, since it uses as much as digits as its factorization.

6671185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 6671185920 is about 81677.3280659939. The cubic root of 6671185920 is about 1882.4972397223.

The spelling of 6671185920 in words is "six billion, six hundred seventy-one million, one hundred eighty-five thousand, nine hundred twenty".