5835634560 has 384 divisors, whose sum is σ = 23274164160. Its totient is φ = 1319731200.

The previous prime is 5835634531. The next prime is 5835634573. The reversal of 5835634560 is 654365385.

5835634560 is a `hidden beast` number, since 5 + 8 + 3 + 5 + 634 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4071604 + ... + 4073036.

Almost surely, 2^5835634560 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 5835634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637082080).

5835634560 is an abundant number, since it is smaller than the sum of its proper divisors (17438529600).

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

5835634560 is a wasteful number, since it uses less digits than its factorization.

5835634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5835634560 is about 76391.3251619580. The cubic root of 5835634560 is about 1800.3738482747.

The spelling of 5835634560 in words is "five billion, eight hundred thirty-five million, six hundred thirty-four thousand, five hundred sixty".