5640350760 has 384 divisors, whose sum is σ = 21058652160. Its totient is φ = 1346284800.

The previous prime is 5640350731. The next prime is 5640350783. The reversal of 5640350760 is 670530465.

5640350760 is a `hidden beast` number, since 5 + 640 + 3 + 5 + 0 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7590949 + ... + 7591691.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^5640350760 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 5640350760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

5640350760 is an abundant number, since it is smaller than the sum of its proper divisors (15418301400).

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

5640350760 is a wasteful number, since it uses less digits than its factorization.

5640350760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5640350760 is about 75102.2686741220. The cubic root of 5640350760 is about 1780.0629906590.

The spelling of 5640350760 in words is "five billion, six hundred forty million, three hundred fifty thousand, seven hundred sixty".