5664322016100 has 288 divisors, whose sum is σ = 20201881996800. Its totient is φ = 1349894505600.

The previous prime is 5664322016051. The next prime is 5664322016167. The reversal of 5664322016100 is 16102234665.

5664322016100 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 32 + 2 + 0 + 1 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136047 + ... + 3368553.

It is an arithmetic number, because the mean of its divisors is an integer number (70145423600).

Almost surely, 2^{5664322016100} is an apocalyptic number.

5664322016100 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 5664322016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100940998400).

5664322016100 is an abundant number, since it is smaller than the sum of its proper divisors (14537559980700).

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

5664322016100 is a wasteful number, since it uses less digits than its factorization.

5664322016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232600 (or 3232587 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5664322016100 in words is "five trillion, six hundred sixty-four billion, three hundred twenty-two million, sixteen thousand, one hundred".