5664240000 has 240 divisors, whose sum is σ = 20370370020. Its totient is φ = 1510272000.

The previous prime is 5664239981. The next prime is 5664240007. The reversal of 5664240000 is 424665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5664240000² = 64167229555200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664240007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 716067 + ... + 723933.

Almost surely, 2^5664240000 is an apocalyptic number.

5664240000 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 5664240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185185010).

5664240000 is an abundant number, since it is smaller than the sum of its proper divisors (14706130020).

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

5664240000 is an equidigital number, since it uses as much as digits as its factorization.

5664240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5664240000 is about 75261.1453540271. The cubic root of 5664240000 is about 1782.5725542509.

Adding to 5664240000 its reverse (424665), we get a palindrome (5664664665).

The spelling of 5664240000 in words is "five billion, six hundred sixty-four million, two hundred forty thousand".