5577744240 has 240 divisors, whose sum is σ = 19498752000. Its totient is φ = 1481815296.

The previous prime is 5577744229. The next prime is 5577744241. The reversal of 5577744240 is 424477755.

5577744240 is a `hidden beast` number, since 5 + 577 + 74 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5577744240² = 62222461613706355200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577744241) 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, 9311461 + ... + 9312059.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 2^5577744240 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 5577744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376000).

5577744240 is an abundant number, since it is smaller than the sum of its proper divisors (13921007760).

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

5577744240 is a wasteful number, since it uses less digits than its factorization.

5577744240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The square root of 5577744240 is about 74684.2971447144. The cubic root of 5577744240 is about 1773.4523826962.

The spelling of 5577744240 in words is "five billion, five hundred seventy-seven million, seven hundred forty-four thousand, two hundred forty".