6754228416 has 560 divisors, whose sum is σ = 23049024768. Its totient is φ = 1940889600.

The previous prime is 6754228409. The next prime is 6754228487. The reversal of 6754228416 is 6148224576.

6754228416 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 228 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110725026 + ... + 110725086.

Almost surely, 2^6754228416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6754228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524512384).

6754228416 is an abundant number, since it is smaller than the sum of its proper divisors (16294796352).

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

6754228416 is a wasteful number, since it uses less digits than its factorization.

6754228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 6754228416 is about 82184.1129172786. The cubic root of 6754228416 is about 1890.2761199001.

The spelling of 6754228416 in words is "six billion, seven hundred fifty-four million, two hundred twenty-eight thousand, four hundred sixteen".