5487648768 has 420 divisors, whose sum is σ = 19089733728. Its totient is φ = 1517322240.

The previous prime is 5487648721. The next prime is 5487648769. The reversal of 5487648768 is 8678467845.

5487648768 is a `hidden beast` number, since 548 + 7 + 6 + 4 + 87 + 6 + 8 = 666.

It is a super-2 number, since 2×5487648768² = 60228578001863835648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5487648769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 177020913 + ... + 177020943.

Almost surely, 2^5487648768 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 5487648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544866864).

5487648768 is an abundant number, since it is smaller than the sum of its proper divisors (13602084960).

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

5487648768 is an frugal number, since it uses more digits than its factorization.

5487648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 43 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The square root of 5487648768 is about 74078.6660787031. Note that the first 3 decimals coincide. The cubic root of 5487648768 is about 1763.8518394080.

The spelling of 5487648768 in words is "five billion, four hundred eighty-seven million, six hundred forty-eight thousand, seven hundred sixty-eight".