6753386016 has 288 divisors, whose sum is σ = 21630248640. Its totient is φ = 2074325760.

The previous prime is 6753386009. The next prime is 6753386083. The reversal of 6753386016 is 6106833576.

6753386016 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 38 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6753386016² = 91216445362208704512, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11827011 + ... + 11827581.

It is an arithmetic number, because the mean of its divisors is an integer number (75105030).

Almost surely, 2^6753386016 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 6753386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815124320).

6753386016 is an abundant number, since it is smaller than the sum of its proper divisors (14876862624).

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

6753386016 is an equidigital number, since it uses as much as digits as its factorization.

6753386016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6753386016 is about 82178.9876793332. The cubic root of 6753386016 is about 1890.1975303751.

The spelling of 6753386016 in words is "six billion, seven hundred fifty-three million, three hundred eighty-six thousand, sixteen".