5684616806400 has 2160 divisors, whose sum is σ = 24846718041600. Its totient is φ = 1261279641600.

The previous prime is 5684616806399. The next prime is 5684616806443. The reversal of 5684616806400 is 46086164865.

5684616806400 is a `hidden beast` number, since 5 + 68 + 461 + 6 + 80 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28565913501 + ... + 28565913699.

Almost surely, 2^{5684616806400} is an apocalyptic number.

5684616806400 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 5684616806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423359020800).

5684616806400 is an abundant number, since it is smaller than the sum of its proper divisors (19162101235200).

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

5684616806400 is an equidigital number, since it uses as much as digits as its factorization.

5684616806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5684616806400 in words is "five trillion, six hundred eighty-four billion, six hundred sixteen million, eight hundred six thousand, four hundred".