5680411200 has 336 divisors, whose sum is σ = 21611295360. Its totient is φ = 1448663040.

The previous prime is 5680411183. The next prime is 5680411207. The reversal of 5680411200 is 21140865.

It is a super-3 number, since 3×5680411200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5680411207) 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 47 ways as a sum of consecutive naturals, for example, 990742 + ... + 996458.

Almost surely, 2^5680411200 is an apocalyptic number.

5680411200 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 5680411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805647680).

5680411200 is an abundant number, since it is smaller than the sum of its proper divisors (15930884160).

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

5680411200 is a wasteful number, since it uses less digits than its factorization.

5680411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5680411200 is about 75368.5027050425. The cubic root of 5680411200 is about 1784.2673357810.

The spelling of 5680411200 in words is "five billion, six hundred eighty million, four hundred eleven thousand, two hundred".