6743985408 has 108 divisors (see below), whose sum is σ = 20588490468. Its totient is φ = 2115747840.

The previous prime is 6743985377. The next prime is 6743985473. The reversal of 6743985408 is 8045893476.

6743985408 is a `hidden beast` number, since 6 + 7 + 4 + 3 + 98 + 540 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5650228224 + 1093757184 = 75168^2 + 33072^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 46923 + ... + 125258.

It is an arithmetic number, because the mean of its divisors is an integer number (190634171).

Almost surely, 2^6743985408 is an apocalyptic number.

6743985408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6743985408 is an abundant number, since it is smaller than the sum of its proper divisors (13844505060).

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

6743985408 is a wasteful number, since it uses less digits than its factorization.

6743985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172220 (or 172203 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 6743985408 is about 82121.7718269644. The cubic root of 6743985408 is about 1889.3200812905.

The spelling of 6743985408 in words is "six billion, seven hundred forty-three million, nine hundred eighty-five thousand, four hundred eight".