5640848640 has 432 divisors, whose sum is σ = 23292279360. Its totient is φ = 1288949760.

The previous prime is 5640848639. The next prime is 5640848641. The reversal of 5640848640 is 468480465.

5640848640 is a `hidden beast` number, since 564 + 0 + 8 + 4 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5640848639) and next prime (5640848641).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640848641) 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, 1691775 + ... + 1695105.

Almost surely, 2^5640848640 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 5640848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646139680).

5640848640 is an abundant number, since it is smaller than the sum of its proper divisors (17651430720).

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

5640848640 is a wasteful number, since it uses less digits than its factorization.

5640848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5640848640 is about 75105.5832811383. The cubic root of 5640848640 is about 1780.1153651609.

The spelling of 5640848640 in words is "five billion, six hundred forty million, eight hundred forty-eight thousand, six hundred forty".