6637113295968 has 96 divisors (see below), whose sum is σ = 17587521995904. Its totient is φ = 2191411423232.

The previous prime is 6637113295937. The next prime is 6637113295979. The reversal of 6637113295968 is 8695923117366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6637113295899 and 6637113295908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88579096 + ... + 88653992.

It is an arithmetic number, because the mean of its divisors is an integer number (183203354124).

Almost surely, 2^{6637113295968} 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 6637113295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793760997952).

6637113295968 is an abundant number, since it is smaller than the sum of its proper divisors (10950408699936).

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

6637113295968 is a wasteful number, since it uses less digits than its factorization.

6637113295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83644 (or 83636 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 66.

The spelling of 6637113295968 in words is "six trillion, six hundred thirty-seven billion, one hundred thirteen million, two hundred ninety-five thousand, nine hundred sixty-eight".