6671362800 has 120 divisors (see below), whose sum is σ = 21421843200. Its totient is φ = 1774764800.

The previous prime is 6671362759. The next prime is 6671362807. The reversal of 6671362800 is 82631766.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671362807) 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 23 ways as a sum of consecutive naturals, for example, 510751 + ... + 523649.

It is an arithmetic number, because the mean of its divisors is an integer number (178515360).

Almost surely, 2^6671362800 is an apocalyptic number.

6671362800 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 6671362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710921600).

6671362800 is an abundant number, since it is smaller than the sum of its proper divisors (14750480400).

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

6671362800 is a wasteful number, since it uses less digits than its factorization.

6671362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6671362800 is about 81678.4108562354. The cubic root of 6671362800 is about 1882.5138771025.

The spelling of 6671362800 in words is "six billion, six hundred seventy-one million, three hundred sixty-two thousand, eight hundred".