5786634240 has 288 divisors, whose sum is σ = 20609610840. Its totient is φ = 1500512256.

The previous prime is 5786634169. The next prime is 5786634247. The reversal of 5786634240 is 424366875.

5786634240 is a `hidden beast` number, since 5 + 7 + 8 + 6 + 634 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5766276096 + 20358144 = 75936^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5786634247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409072 + ... + 3410768.

Almost surely, 2^5786634240 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 5786634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304805420).

5786634240 is an abundant number, since it is smaller than the sum of its proper divisors (14822976600).

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

5786634240 is a wasteful number, since it uses less digits than its factorization.

5786634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5786634240 is about 76069.9299329242. The cubic root of 5786634240 is about 1795.3205863311.

The spelling of 5786634240 in words is "five billion, seven hundred eighty-six million, six hundred thirty-four thousand, two hundred forty".