6943660416 has 512 divisors, whose sum is σ = 25909632000. Its totient is φ = 1778319360.

The previous prime is 6943660403. The next prime is 6943660453. The reversal of 6943660416 is 6140663496.

6943660416 is a `hidden beast` number, since 6 + 9 + 4 + 36 + 604 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25812730 + ... + 25812998.

It is an arithmetic number, because the mean of its divisors is an integer number (50604750).

Almost surely, 2^6943660416 is an apocalyptic number.

6943660416 is a gapful number since it is divisible by the number (66) 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 6943660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816000).

6943660416 is an abundant number, since it is smaller than the sum of its proper divisors (18965971584).

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

6943660416 is a wasteful number, since it uses less digits than its factorization.

6943660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6943660416 is about 83328.6290298838. The cubic root of 6943660416 is about 1907.7852691379.

The spelling of 6943660416 in words is "six billion, nine hundred forty-three million, six hundred sixty thousand, four hundred sixteen".