5677860240 has 280 divisors, whose sum is σ = 21317828280. Its totient is φ = 1397440512.

The previous prime is 5677860229. The next prime is 5677860241. The reversal of 5677860240 is 420687765.

5677860240 is a `hidden beast` number, since 567 + 7 + 8 + 60 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92390544 + 5585469696 = 9612^2 + 74736^2 .

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 (5677860241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 754416 + ... + 761904.

It is an arithmetic number, because the mean of its divisors is an integer number (76135101).

Almost surely, 2^5677860240 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 5677860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658914140).

5677860240 is an abundant number, since it is smaller than the sum of its proper divisors (15639968040).

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

5677860240 is a wasteful number, since it uses less digits than its factorization.

5677860240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5677860240 is about 75351.5775548196. The cubic root of 5677860240 is about 1784.0002027656. Note that the first 3 decimals are identical.

The spelling of 5677860240 in words is "five billion, six hundred seventy-seven million, eight hundred sixty thousand, two hundred forty".