5468075984 has 80 divisors (see below), whose sum is σ = 12282428160. Its totient is φ = 2309852160.

The previous prime is 5468075971. The next prime is 5468075999. The reversal of 5468075984 is 4895708645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4195877 + ... + 4197179.

It is an arithmetic number, because the mean of its divisors is an integer number (153530352).

Almost surely, 2^5468075984 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 5468075984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141214080).

5468075984 is an abundant number, since it is smaller than the sum of its proper divisors (6814352176).

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

5468075984 is a wasteful number, since it uses less digits than its factorization.

5468075984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The square root of 5468075984 is about 73946.4399683987. The cubic root of 5468075984 is about 1761.7522992104.

The spelling of 5468075984 in words is "five billion, four hundred sixty-eight million, seventy-five thousand, nine hundred eighty-four".