5684580000 has 900 divisors, whose sum is σ = 23754716370. Its totient is φ = 1330560000.

The previous prime is 5684579983. The next prime is 5684580023. The reversal of 5684580000 is 854865.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 82955664 + 5601624336 = 9108^2 + 74844^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 149 ways as a sum of consecutive naturals, for example, 196019986 + ... + 196020014.

Almost surely, 2^5684580000 is an apocalyptic number.

5684580000 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 5684580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877358185).

5684580000 is an abundant number, since it is smaller than the sum of its proper divisors (18070136370).

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

5684580000 is a wasteful number, since it uses less digits than its factorization.

5684580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5684580000 is about 75396.1537480527. The cubic root of 5684580000 is about 1784.7037146819.

The spelling of 5684580000 in words is "five billion, six hundred eighty-four million, five hundred eighty thousand".