5577841440 has 672 divisors, whose sum is σ = 21864109680. Its totient is φ = 1337720832.

The previous prime is 5577841417. The next prime is 5577841471. The reversal of 5577841440 is 441487755.

5577841440 is a `hidden beast` number, since 557 + 7 + 84 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3141826704 + 2436014736 = 56052^2 + 49356^2 .

It is a super-2 number, since 2×5577841440² = 62224630259562547200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57503472 + ... + 57503568.

Almost surely, 2^5577841440 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 5577841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932054840).

5577841440 is an abundant number, since it is smaller than the sum of its proper divisors (16286268240).

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

5577841440 is a wasteful number, since it uses less digits than its factorization.

5577841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The square root of 5577841440 is about 74684.9478810824. The cubic root of 5577841440 is about 1773.4626842663.

The spelling of 5577841440 in words is "five billion, five hundred seventy-seven million, eight hundred forty-one thousand, four hundred forty".