5978946240 has 336 divisors, whose sum is σ = 22530998880. Its totient is φ = 1448509440.

The previous prime is 5978946227. The next prime is 5978946247. The reversal of 5978946240 is 426498795.

5978946240 is a `hidden beast` number, since 5 + 9 + 7 + 8 + 9 + 4 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5978946247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417735 + ... + 1421945.

Almost surely, 2^5978946240 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 5978946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265499440).

5978946240 is an abundant number, since it is smaller than the sum of its proper divisors (16552052640).

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

5978946240 is a wasteful number, since it uses less digits than its factorization.

5978946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5978946240 is about 77323.6460599214. The cubic root of 5978946240 is about 1814.9927008335.

The spelling of 5978946240 in words is "five billion, nine hundred seventy-eight million, nine hundred forty-six thousand, two hundred forty".