5978024640 has 448 divisors, whose sum is σ = 24374246400. Its totient is φ = 1350991872.

The previous prime is 5978024627. The next prime is 5978024659. The reversal of 5978024640 is 464208795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5866051 + ... + 5867069.

It is an arithmetic number, because the mean of its divisors is an integer number (54406800).

Almost surely, 2^5978024640 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 5978024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187123200).

5978024640 is an abundant number, since it is smaller than the sum of its proper divisors (18396221760).

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

5978024640 is a wasteful number, since it uses less digits than its factorization.

5978024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5978024640 is about 77317.6864630597. The cubic root of 5978024640 is about 1814.8994411878.

The spelling of 5978024640 in words is "five billion, nine hundred seventy-eight million, twenty-four thousand, six hundred forty".