5640136320 has 512 divisors, whose sum is σ = 23304960000. Its totient is φ = 1126711296.

The previous prime is 5640136319. The next prime is 5640136321. The reversal of 5640136320 is 236310465.

It is an interprime number because it is at equal distance from previous prime (5640136319) and next prime (5640136321).

It is a super-2 number, since 2×5640136320² = 63622275416366284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5640136321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3318831 + ... + 3320529.

It is an arithmetic number, because the mean of its divisors is an integer number (45517500).

Almost surely, 2^5640136320 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 5640136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652480000).

5640136320 is an abundant number, since it is smaller than the sum of its proper divisors (17664823680).

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

5640136320 is a wasteful number, since it uses less digits than its factorization.

5640136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5640136320 is about 75100.8410072750. The cubic root of 5640136320 is about 1780.0404316869.

Adding to 5640136320 its reverse (236310465), we get a palindrome (5876446785).

The spelling of 5640136320 in words is "five billion, six hundred forty million, one hundred thirty-six thousand, three hundred twenty".