6671901600 has 864 divisors, whose sum is σ = 30710534400. Its totient is φ = 1322680320.

The previous prime is 6671901569. The next prime is 6671901641. The reversal of 6671901600 is 61091766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11138101 + ... + 11138699.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 2^6671901600 is an apocalyptic number.

6671901600 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 6671901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355267200).

6671901600 is an abundant number, since it is smaller than the sum of its proper divisors (24038632800).

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

6671901600 is a wasteful number, since it uses less digits than its factorization.

6671901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 6671901600 is about 81681.7090908362. The cubic root of 6671901600 is about 1882.5645549626.

The spelling of 6671901600 in words is "six billion, six hundred seventy-one million, nine hundred one thousand, six hundred".