5777415072 has 540 divisors, whose sum is σ = 20408981670. Its totient is φ = 1601233920.

The previous prime is 5777415047. The next prime is 5777415073. The reversal of 5777415072 is 2705147775.

5777415072 is a `hidden beast` number, since 5 + 77 + 74 + 1 + 507 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3481472016 + 2295943056 = 59004^2 + 47916^2 .

It is not an unprimeable number, because it can be changed into a prime (5777415073) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 53003754 + ... + 53003862.

Almost surely, 2^5777415072 is an apocalyptic number.

5777415072 is a gapful number since it is divisible by the number (52) 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 5777415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204490835).

5777415072 is an abundant number, since it is smaller than the sum of its proper divisors (14631566598).

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

5777415072 is a wasteful number, since it uses less digits than its factorization.

5777415072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The square root of 5777415072 is about 76009.3091140815. The cubic root of 5777415072 is about 1794.3666547372.

The spelling of 5777415072 in words is "five billion, seven hundred seventy-seven million, four hundred fifteen thousand, seventy-two".