5735446640 has 320 divisors, whose sum is σ = 17347461120. Its totient is φ = 1711825920.

The previous prime is 5735446637. The next prime is 5735446649. The reversal of 5735446640 is 466445375.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5735446591 and 5735446600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735446649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15627737 + ... + 15628103.

It is an arithmetic number, because the mean of its divisors is an integer number (54210816).

Almost surely, 2^5735446640 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 5735446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673730560).

5735446640 is an abundant number, since it is smaller than the sum of its proper divisors (11612014480).

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

5735446640 is a wasteful number, since it uses less digits than its factorization.

5735446640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The square root of 5735446640 is about 75732.7316290651. The cubic root of 5735446640 is about 1790.0111980823.

The spelling of 5735446640 in words is "five billion, seven hundred thirty-five million, four hundred forty-six thousand, six hundred forty".