6116761728 has 288 divisors, whose sum is σ = 22339015920. Its totient is φ = 1588608000.

The previous prime is 6116761699. The next prime is 6116761741. The reversal of 6116761728 is 8271676116.

6116761728 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 7 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616003 + ... + 625853.

Almost surely, 2^6116761728 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 6116761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169507960).

6116761728 is an abundant number, since it is smaller than the sum of its proper divisors (16222254192).

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

6116761728 is a wasteful number, since it uses less digits than its factorization.

6116761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9874 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 6116761728 is about 78209.7291134549. The cubic root of 6116761728 is about 1828.8321779574.

The spelling of 6116761728 in words is "six billion, one hundred sixteen million, seven hundred sixty-one thousand, seven hundred twenty-eight".