5635768320 has 816 divisors, whose sum is σ = 25102717920. Its totient is φ = 1189085184.

The previous prime is 5635768249. The next prime is 5635768337. The reversal of 5635768320 is 238675365.

5635768320 is a `hidden beast` number, since 5 + 635 + 7 + 6 + 8 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433520634 + ... + 433520646.

Almost surely, 2^5635768320 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 5635768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551358960).

5635768320 is an abundant number, since it is smaller than the sum of its proper divisors (19466949600).

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

5635768320 is an equidigital number, since it uses as much as digits as its factorization.

5635768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5635768320 is about 75071.7544753018. The cubic root of 5635768320 is about 1779.5807959501.

The spelling of 5635768320 in words is "five billion, six hundred thirty-five million, seven hundred sixty-eight thousand, three hundred twenty".