5683408416 has 288 divisors, whose sum is σ = 19290031488. Its totient is φ = 1612431360.

The previous prime is 5683408387. The next prime is 5683408447. The reversal of 5683408416 is 6148043865.

5683408416 is a `hidden beast` number, since 568 + 3 + 4 + 0 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5683408416² = 64602262446119258112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10505106 + ... + 10505646.

It is an arithmetic number, because the mean of its divisors is an integer number (66979276).

Almost surely, 2^5683408416 is an apocalyptic number.

5683408416 is a gapful number since it is divisible by the number (56) 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 5683408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645015744).

5683408416 is an abundant number, since it is smaller than the sum of its proper divisors (13606623072).

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

5683408416 is a wasteful number, since it uses less digits than its factorization.

5683408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5683408416 is about 75388.3838266878. The cubic root of 5683408416 is about 1784.5810979434.

The spelling of 5683408416 in words is "five billion, six hundred eighty-three million, four hundred eight thousand, four hundred sixteen".