5978384640 has 216 divisors, whose sum is σ = 20970888120. Its totient is φ = 1572175872.

The previous prime is 5978384623. The next prime is 5978384651. The reversal of 5978384640 is 464838795.

5978384640 is a `hidden beast` number, since 597 + 8 + 3 + 8 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 5832071424 = 12096^2 + 76368^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 837406 + ... + 844514.

It is an arithmetic number, because the mean of its divisors is an integer number (97087445).

Almost surely, 2^5978384640 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 5978384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485444060).

5978384640 is an abundant number, since it is smaller than the sum of its proper divisors (14992503480).

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

5978384640 is a wasteful number, since it uses less digits than its factorization.

5978384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5978384640 is about 77320.0144852547. The cubic root of 5978384640 is about 1814.9358718776.

The spelling of 5978384640 in words is "five billion, nine hundred seventy-eight million, three hundred eighty-four thousand, six hundred forty".