5567760000 has 960 divisors, whose sum is σ = 23611816800. Its totient is φ = 1244160000.

The previous prime is 5567759999. The next prime is 5567760071. The reversal of 5567760000 is 677655.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150479982 + ... + 150480018.

Almost surely, 2^5567760000 is an apocalyptic number.

5567760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5567760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805908400).

5567760000 is an abundant number, since it is smaller than the sum of its proper divisors (18044056800).

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

5567760000 is a wasteful number, since it uses less digits than its factorization.

5567760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5567760000 is about 74617.4242385785. The cubic root of 5567760000 is about 1772.3935825206.

It can be divided in two parts, 5567 and 760000, that added together give a palindrome (765567).

The spelling of 5567760000 in words is "five billion, five hundred sixty-seven million, seven hundred sixty thousand".