5645327688 has 768 divisors, whose sum is σ = 22109068800. Its totient is φ = 1254113280.

The previous prime is 5645327573. The next prime is 5645327731. The reversal of 5645327688 is 8867235465.

5645327688 is a `hidden beast` number, since 564 + 5 + 3 + 2 + 76 + 8 + 8 = 666.

Its product of digits (9676800) is a multiple of the sum of its prime divisors (175).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77333220 + ... + 77333292.

It is an arithmetic number, because the mean of its divisors is an integer number (28787850).

Almost surely, 2^5645327688 is an apocalyptic number.

5645327688 is a gapful number since it is divisible by the number (58) 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 5645327688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054534400).

5645327688 is an abundant number, since it is smaller than the sum of its proper divisors (16463741112).

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

5645327688 is a wasteful number, since it uses less digits than its factorization.

5645327688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5645327688 is about 75135.3957066841. The cubic root of 5645327688 is about 1780.5864002397.

It can be divided in two parts, 5645 and 327688, that added together give a palindrome (333333).

The spelling of 5645327688 in words is "five billion, six hundred forty-five million, three hundred twenty-seven thousand, six hundred eighty-eight".