5664895600 has 240 divisors, whose sum is σ = 17634426880. Its totient is φ = 1698278400.

The previous prime is 5664895597. The next prime is 5664895603. The reversal of 5664895600 is 65984665.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5664895597) and next prime (5664895603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664895603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687505 + ... + 695695.

Almost surely, 2^5664895600 is an apocalyptic number.

5664895600 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 5664895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817213440).

5664895600 is an abundant number, since it is smaller than the sum of its proper divisors (11969531280).

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

5664895600 is a wasteful number, since it uses less digits than its factorization.

5664895600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 5664895600 is about 75265.5007290857. The cubic root of 5664895600 is about 1782.6413254354.

The spelling of 5664895600 in words is "five billion, six hundred sixty-four million, eight hundred ninety-five thousand, six hundred".