6673801680 has 640 divisors, whose sum is σ = 29798092800. Its totient is φ = 1333241856.

The previous prime is 6673801649. The next prime is 6673801759. The reversal of 6673801680 is 861083766.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3733747 + ... + 3735533.

It is an arithmetic number, because the mean of its divisors is an integer number (46559520).

Almost surely, 2^6673801680 is an apocalyptic number.

6673801680 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 6673801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14899046400).

6673801680 is an abundant number, since it is smaller than the sum of its proper divisors (23124291120).

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

6673801680 is a wasteful number, since it uses less digits than its factorization.

6673801680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6673801680 is about 81693.3392633696. The cubic root of 6673801680 is about 1882.7432488324.

The spelling of 6673801680 in words is "six billion, six hundred seventy-three million, eight hundred one thousand, six hundred eighty".