5665827664 has 160 divisors (see below), whose sum is σ = 13693568000. Its totient is φ = 2263282560.

The previous prime is 5665827653. The next prime is 5665827667. The reversal of 5665827664 is 4667285665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665827667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6985819 + ... + 6986629.

It is an arithmetic number, because the mean of its divisors is an integer number (85584800).

Almost surely, 2^5665827664 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 5665827664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846784000).

5665827664 is an abundant number, since it is smaller than the sum of its proper divisors (8027740336).

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

5665827664 is a wasteful number, since it uses less digits than its factorization.

5665827664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The square root of 5665827664 is about 75271.6923152389. The cubic root of 5665827664 is about 1782.7390880306.

The spelling of 5665827664 in words is "five billion, six hundred sixty-five million, eight hundred twenty-seven thousand, six hundred sixty-four".