5618688768 has 1008 divisors, whose sum is σ = 23163065856. Its totient is φ = 1313832960.

The previous prime is 5618688737. The next prime is 5618688769. The reversal of 5618688768 is 8678868165.

5618688768 is a `hidden beast` number, since 5 + 618 + 6 + 8 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30965760) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5618688769) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 244290805 + ... + 244290827.

It is an arithmetic number, because the mean of its divisors is an integer number (22979232).

Almost surely, 2^5618688768 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 5618688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581532928).

5618688768 is an abundant number, since it is smaller than the sum of its proper divisors (17544377088).

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

5618688768 is a wasteful number, since it uses less digits than its factorization.

5618688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The square root of 5618688768 is about 74957.9133114043. The cubic root of 5618688768 is about 1777.7812661783.

The spelling of 5618688768 in words is "five billion, six hundred eighteen million, six hundred eighty-eight thousand, seven hundred sixty-eight".