5735287680 has 256 divisors, whose sum is σ = 19016847360. Its totient is φ = 1468661760.

The previous prime is 5735287673. The next prime is 5735287681. The reversal of 5735287680 is 867825375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735287681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9939552 + ... + 9940128.

It is an arithmetic number, because the mean of its divisors is an integer number (74284560).

Almost surely, 2^5735287680 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 5735287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508423680).

5735287680 is an abundant number, since it is smaller than the sum of its proper divisors (13281559680).

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

5735287680 is a wasteful number, since it uses less digits than its factorization.

5735287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 5735287680 is about 75731.6821416242. The cubic root of 5735287680 is about 1789.9946609913.

The spelling of 5735287680 in words is "five billion, seven hundred thirty-five million, two hundred eighty-seven thousand, six hundred eighty".