5727216768 has 512 divisors, whose sum is σ = 20530298880. Its totient is φ = 1371340800.

The previous prime is 5727216767. The next prime is 5727216773. The reversal of 5727216768 is 8676127275.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1975680) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5727216768.

It is not an unprimeable number, because it can be changed into a prime (5727216763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18415333 + ... + 18415643.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^5727216768 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 5727216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265149440).

5727216768 is an abundant number, since it is smaller than the sum of its proper divisors (14803082112).

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

5727216768 is a wasteful number, since it uses less digits than its factorization.

5727216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 5727216768 is about 75678.3771496192. The cubic root of 5727216768 is about 1789.1546176065.

The spelling of 5727216768 in words is "five billion, seven hundred twenty-seven million, two hundred sixteen thousand, seven hundred sixty-eight".