5777416368 has 270 divisors, whose sum is σ = 17865268876. Its totient is φ = 1807318656.

The previous prime is 5777416367. The next prime is 5777416429. The reversal of 5777416368 is 8636147775.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5777416368 is a `hidden beast` number, since 577 + 7 + 4 + 1 + 6 + 3 + 68 = 666.

It is a super-2 number, since 2×5777416368² = 66757079778468622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5777416361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 109007830 + ... + 109007882.

It is a vampire number, since it can be written as 75843 ⋅ 76176 (with its own digits).

Almost surely, 2^5777416368 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 5777416368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932634438).

5777416368 is an abundant number, since it is smaller than the sum of its proper divisors (12087852508).

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

5777416368 is an equidigital number, since it uses as much as digits as its factorization.

5777416368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 81 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 5777416368 is about 76009.3176393526. The cubic root of 5777416368 is about 1794.3667889091.

The spelling of 5777416368 in words is "five billion, seven hundred seventy-seven million, four hundred sixteen thousand, three hundred sixty-eight".