5506375680 has 448 divisors, whose sum is σ = 21138001920. Its totient is φ = 1351876608.

The previous prime is 5506375673. The next prime is 5506375709. The reversal of 5506375680 is 865736055.

5506375680 is a `hidden beast` number, since 5 + 5 + 0 + 637 + 5 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376769 + ... + 14377151.

It is an arithmetic number, because the mean of its divisors is an integer number (47183040).

Almost surely, 2^5506375680 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 5506375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569000960).

5506375680 is an abundant number, since it is smaller than the sum of its proper divisors (15631626240).

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

5506375680 is a wasteful number, since it uses less digits than its factorization.

5506375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5506375680 is about 74204.9572468039. The cubic root of 5506375680 is about 1765.8559761336.

It can be divided in two parts, 5506375 and 680, that added together give a palindrome (5507055).

The spelling of 5506375680 in words is "five billion, five hundred six million, three hundred seventy-five thousand, six hundred eighty".