6346576116 has 144 divisors (see below), whose sum is σ = 17180916480. Its totient is φ = 1971002880.

The previous prime is 6346576111. The next prime is 6346576169. The reversal of 6346576116 is 6116756436.

6346576116 is a `hidden beast` number, since 6 + 3 + 465 + 76 + 116 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6346576111) 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, 5231526 + ... + 5232738.

It is an arithmetic number, because the mean of its divisors is an integer number (119311920).

Almost surely, 2^6346576116 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 6346576116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590458240).

6346576116 is an abundant number, since it is smaller than the sum of its proper divisors (10834340364).

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

6346576116 is a wasteful number, since it uses less digits than its factorization.

6346576116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 6346576116 is about 79665.4009969196. The cubic root of 6346576116 is about 1851.4550146768.

The spelling of 6346576116 in words is "six billion, three hundred forty-six million, five hundred seventy-six thousand, one hundred sixteen".