5716830240 has 288 divisors, whose sum is σ = 21487467456. Its totient is φ = 1372538880.

The previous prime is 5716830109. The next prime is 5716830241. The reversal of 5716830240 is 420386175.

5716830240 is a `hidden beast` number, since 571 + 6 + 83 + 0 + 2 + 4 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5716830195 and 5716830204.

It is not an unprimeable number, because it can be changed into a prime (5716830241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693194 + ... + 1696566.

It is an arithmetic number, because the mean of its divisors is an integer number (74609262).

Almost surely, 2^5716830240 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 5716830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743733728).

5716830240 is an abundant number, since it is smaller than the sum of its proper divisors (15770637216).

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

5716830240 is a wasteful number, since it uses less digits than its factorization.

5716830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5716830240 is about 75609.7231842572. The cubic root of 5716830240 is about 1788.0723962098.

The spelling of 5716830240 in words is "five billion, seven hundred sixteen million, eight hundred thirty thousand, two hundred forty".