5778384480 has 576 divisors, whose sum is σ = 22785235200. Its totient is φ = 1371064320.

The previous prime is 5778384467. The next prime is 5778384517. The reversal of 5778384480 is 844838775.

It is a happy number.

5778384480 is a `hidden beast` number, since 5 + 7 + 7 + 83 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25233006 + ... + 25233234.

It is an arithmetic number, because the mean of its divisors is an integer number (39557700).

Almost surely, 2^5778384480 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 5778384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392617600).

5778384480 is an abundant number, since it is smaller than the sum of its proper divisors (17006850720).

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

5778384480 is a wasteful number, since it uses less digits than its factorization.

5778384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 5778384480 is about 76015.6857497188. The cubic root of 5778384480 is about 1794.4670096588.

The spelling of 5778384480 in words is "five billion, seven hundred seventy-eight million, three hundred eighty-four thousand, four hundred eighty".