5578375680 has 240 divisors, whose sum is σ = 20337894720. Its totient is φ = 1409163264.

The previous prime is 5578375643. The next prime is 5578375697. The reversal of 5578375680 is 865738755.

5578375680 is a `hidden beast` number, since 5 + 5 + 78 + 3 + 7 + 568 + 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 2×5578375680² = 62236550454430924800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431389 + ... + 444131.

It is an arithmetic number, because the mean of its divisors is an integer number (84741228).

Almost surely, 2^5578375680 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 5578375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168947360).

5578375680 is an abundant number, since it is smaller than the sum of its proper divisors (14759519040).

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

5578375680 is a wasteful number, since it uses less digits than its factorization.

5578375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The square root of 5578375680 is about 74688.5244197527. The cubic root of 5578375680 is about 1773.5193026116.

The spelling of 5578375680 in words is "five billion, five hundred seventy-eight million, three hundred seventy-five thousand, six hundred eighty".