6649805071872 has 400 divisors, whose sum is σ = 20919931061040. Its totient is φ = 2099766509568.

The previous prime is 6649805071867. The next prime is 6649805071879. The reversal of 6649805071872 is 2781705089466.

6649805071872 is a `hidden beast` number, since 6 + 6 + 49 + 8 + 0 + 507 + 1 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6649805071879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63690303 + ... + 63794625.

Almost surely, 2^{6649805071872} 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 6649805071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459965530520).

6649805071872 is an abundant number, since it is smaller than the sum of its proper divisors (14270125989168).

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

6649805071872 is a wasteful number, since it uses less digits than its factorization.

6649805071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104435 (or 104410 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 6649805071872 in words is "six trillion, six hundred forty-nine billion, eight hundred five million, seventy-one thousand, eight hundred seventy-two".