6017776416 has 144 divisors (see below), whose sum is σ = 18791214624. Its totient is φ = 1887888384.

The previous prime is 6017776409. The next prime is 6017776447. The reversal of 6017776416 is 6146777106.

6017776416 is a `hidden beast` number, since 60 + 177 + 7 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109431 + ... + 154953.

It is an arithmetic number, because the mean of its divisors is an integer number (130494546).

Almost surely, 2^6017776416 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 6017776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395607312).

6017776416 is an abundant number, since it is smaller than the sum of its proper divisors (12773438208).

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

6017776416 is a wasteful number, since it uses less digits than its factorization.

6017776416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565 (or 45545 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 6017776416 is about 77574.3283309627. The cubic root of 6017776416 is about 1818.9133730169.

The spelling of 6017776416 in words is "six billion, seventeen million, seven hundred seventy-six thousand, four hundred sixteen".