5684514660000 has 1200 divisors, whose sum is σ = 22821532272000. Its totient is φ = 1376147520000.

The previous prime is 5684514659927. The next prime is 5684514660001. The reversal of 5684514660000 is 664154865.

5684514660000 is a `hidden beast` number, since 56 + 84 + 514 + 6 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5684514660001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 7906139641 + ... + 7906140359.

It is an arithmetic number, because the mean of its divisors is an integer number (19017943560).

Almost surely, 2^{5684514660000} is an apocalyptic number.

5684514660000 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 5684514660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410766136000).

5684514660000 is an abundant number, since it is smaller than the sum of its proper divisors (17137017612000).

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

5684514660000 is an frugal number, since it uses more digits than its factorization.

5684514660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5684514660000 in words is "five trillion, six hundred eighty-four billion, five hundred fourteen million, six hundred sixty thousand".