6468616896 has 112 divisors (see below), whose sum is σ = 19596445440. Its totient is φ = 1844720640.

The previous prime is 6468616883. The next prime is 6468616901. The reversal of 6468616896 is 6986168646.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763210 + ... + 771638.

Almost surely, 2^6468616896 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 6468616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798222720).

6468616896 is an abundant number, since it is smaller than the sum of its proper divisors (13127828544).

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

6468616896 is a wasteful number, since it uses less digits than its factorization.

6468616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9012 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 6468616896 is about 80427.7122390038. The cubic root of 6468616896 is about 1863.2471985754.

The spelling of 6468616896 in words is "six billion, four hundred sixty-eight million, six hundred sixteen thousand, eight hundred ninety-six".