5567664000 has 256 divisors, whose sum is σ = 18583306560. Its totient is φ = 1474560000.

The previous prime is 5567663957. The next prime is 5567664007. The reversal of 5567664000 is 4667655.

It is a self number, because there is not a number n which added to its sum of digits gives 5567664000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5567664007) 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, 9263700 + ... + 9264300.

Almost surely, 2^5567664000 is an apocalyptic number.

5567664000 is a gapful number since it is divisible by the number (50) 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 5567664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291653280).

5567664000 is an abundant number, since it is smaller than the sum of its proper divisors (13015642560).

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

5567664000 is a wasteful number, since it uses less digits than its factorization.

5567664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5567664000 is about 74616.7809544207. The cubic root of 5567664000 is about 1772.3833958530.

The spelling of 5567664000 in words is "five billion, five hundred sixty-seven million, six hundred sixty-four thousand".