5578861968 has 180 divisors, whose sum is σ = 16697895552. Its totient is φ = 1735493760.

The previous prime is 5578861931. The next prime is 5578861973. The reversal of 5578861968 is 8691688755.

5578861968 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 8 + 619 + 6 + 8 = 666.

It is a super-2 number, since 2×5578861968² = 62247401715993666048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6123433 + ... + 6124343.

Almost surely, 2^5578861968 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 5578861968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348947776).

5578861968 is an abundant number, since it is smaller than the sum of its proper divisors (11119033584).

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

5578861968 is a wasteful number, since it uses less digits than its factorization.

5578861968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 982 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The square root of 5578861968 is about 74691.7797886755. The cubic root of 5578861968 is about 1773.5708358980.

The spelling of 5578861968 in words is "five billion, five hundred seventy-eight million, eight hundred sixty-one thousand, nine hundred sixty-eight".