5459928768 has 280 divisors, whose sum is σ = 19473062400. Its totient is φ = 1477688832.

The previous prime is 5459928707. The next prime is 5459928779. The reversal of 5459928768 is 8678299545.

5459928768 is a `hidden beast` number, since 545 + 9 + 9 + 2 + 87 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 685513 + ... + 693431.

Almost surely, 2^5459928768 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 5459928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736531200).

5459928768 is an abundant number, since it is smaller than the sum of its proper divisors (14013133632).

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

5459928768 is a wasteful number, since it uses less digits than its factorization.

5459928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7950 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 5459928768 is about 73891.3308040937. The cubic root of 5459928768 is about 1760.8768839746.

The spelling of 5459928768 in words is "five billion, four hundred fifty-nine million, nine hundred twenty-eight thousand, seven hundred sixty-eight".