6117968648 has 64 divisors (see below), whose sum is σ = 13063360320. Its totient is φ = 2661292800.

The previous prime is 6117968641. The next prime is 6117968711. The reversal of 6117968648 is 8468697116.

It is a junction number, because it is equal to n+sod(n) for n = 6117968593 and 6117968602.

It is not an unprimeable number, because it can be changed into a prime (6117968641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183215 + ... + 214017.

It is an arithmetic number, because the mean of its divisors is an integer number (204115005).

Almost surely, 2^6117968648 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 6117968648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531680160).

6117968648 is an abundant number, since it is smaller than the sum of its proper divisors (6945391672).

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

6117968648 is a wasteful number, since it uses less digits than its factorization.

6117968648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918 (or 30914 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 56.

The square root of 6117968648 is about 78217.4446527116. Note that the first 3 decimals coincide. The cubic root of 6117968648 is about 1828.9524545064.

The spelling of 6117968648 in words is "six billion, one hundred seventeen million, nine hundred sixty-eight thousand, six hundred forty-eight".