6744782016 has 336 divisors, whose sum is σ = 23226637824. Its totient is φ = 1829634048.

The previous prime is 6744781987. The next prime is 6744782041. The reversal of 6744782016 is 6102874476.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23833011 + ... + 23833293.

Almost surely, 2^6744782016 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 6744782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613318912).

6744782016 is an abundant number, since it is smaller than the sum of its proper divisors (16481855808).

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

6744782016 is a wasteful number, since it uses less digits than its factorization.

6744782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

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

The square root of 6744782016 is about 82126.6218469992. The cubic root of 6744782016 is about 1889.3944679795.

The spelling of 6744782016 in words is "six billion, seven hundred forty-four million, seven hundred eighty-two thousand, sixteen".