6674417280 has 512 divisors, whose sum is σ = 25777440000. Its totient is φ = 1625702400.

The previous prime is 6674417237. The next prime is 6674417353. The reversal of 6674417280 is 827144766.

6674417280 is a `hidden beast` number, since 6 + 67 + 441 + 72 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9520930 + ... + 9521630.

Almost surely, 2^6674417280 is an apocalyptic number.

6674417280 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 6674417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888720000).

6674417280 is an abundant number, since it is smaller than the sum of its proper divisors (19103022720).

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

6674417280 is a wasteful number, since it uses less digits than its factorization.

6674417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6674417280 is about 81697.1069255209. The cubic root of 6674417280 is about 1882.8011359341.

The spelling of 6674417280 in words is "six billion, six hundred seventy-four million, four hundred seventeen thousand, two hundred eighty".