6117616327680 has 2112 divisors, whose sum is σ = 26484834055680. Its totient is φ = 1283574988800.

The previous prime is 6117616327663. The next prime is 6117616327681. The reversal of 6117616327680 is 867236167116.

6117616327680 is a `hidden beast` number, since 6 + 1 + 17 + 616 + 3 + 2 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117616327681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16401115974 + ... + 16401116346.

It is an arithmetic number, because the mean of its divisors is an integer number (12540167640).

Almost surely, 2^{6117616327680} is an apocalyptic number.

6117616327680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117616327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242417027840).

6117616327680 is an abundant number, since it is smaller than the sum of its proper divisors (20367217728000).

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

6117616327680 is a wasteful number, since it uses less digits than its factorization.

6117616327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 6117616327680 in words is "six trillion, one hundred seventeen billion, six hundred sixteen million, three hundred twenty-seven thousand, six hundred eighty".