5778073440 has 288 divisors, whose sum is σ = 20554593696. Its totient is φ = 1532805120.

The previous prime is 5778073429. The next prime is 5778073453. The reversal of 5778073440 is 443708775.

5778073440 is a `hidden beast` number, since 577 + 8 + 0 + 7 + 34 + 40 = 666.

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

It is a super-2 number, since 2×5778073440² = 66772265356066867200, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13724430 + ... + 13724850.

It is an arithmetic number, because the mean of its divisors is an integer number (71370117).

Almost surely, 2^5778073440 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 5778073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277296848).

5778073440 is an abundant number, since it is smaller than the sum of its proper divisors (14776520256).

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

5778073440 is a wasteful number, since it uses less digits than its factorization.

5778073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 5778073440 is about 76013.6398286518. The cubic root of 5778073440 is about 1794.4348114417.

The spelling of 5778073440 in words is "five billion, seven hundred seventy-eight million, seventy-three thousand, four hundred forty".