6673726080 has 640 divisors, whose sum is σ = 27831703680. Its totient is φ = 1492328448.

The previous prime is 6673726067. The next prime is 6673726109. The reversal of 6673726080 is 806273766.

6673726080 is a `hidden beast` number, since 6 + 6 + 7 + 37 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19232467 + ... + 19232813.

It is an arithmetic number, because the mean of its divisors is an integer number (43487037).

Almost surely, 2^6673726080 is an apocalyptic number.

6673726080 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 6673726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915851840).

6673726080 is an abundant number, since it is smaller than the sum of its proper divisors (21157977600).

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

6673726080 is a wasteful number, since it uses less digits than its factorization.

6673726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6673726080 is about 81692.8765560376. The cubic root of 6673726080 is about 1882.7361396447.

The spelling of 6673726080 in words is "six billion, six hundred seventy-three million, seven hundred twenty-six thousand, eighty".