6607313436672 has 864 divisors, whose sum is σ = 21641267793600. Its totient is φ = 1928431927296.

The previous prime is 6607313436629. The next prime is 6607313436679. The reversal of 6607313436672 is 2766343137066.

6607313436672 is a `hidden beast` number, since 6 + 60 + 73 + 13 + 436 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (6607313436679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36912365479 + ... + 36912365657.

It is an arithmetic number, because the mean of its divisors is an integer number (25047763650).

Almost surely, 2^{6607313436672} 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 6607313436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820633896800).

6607313436672 is an abundant number, since it is smaller than the sum of its proper divisors (15033954356928).

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

6607313436672 is a wasteful number, since it uses less digits than its factorization.

6607313436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 6607313436672 in words is "six trillion, six hundred seven billion, three hundred thirteen million, four hundred thirty-six thousand, six hundred seventy-two".