5662445630688 has 864 divisors, whose sum is σ = 21246838099200. Its totient is φ = 1461737249280.

The previous prime is 5662445630669. The next prime is 5662445630689. The reversal of 5662445630688 is 8860365442665.

It is a happy number.

5662445630688 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 4 + 4 + 563 + 0 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662445630689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 855480243 + ... + 855486861.

It is an arithmetic number, because the mean of its divisors is an integer number (24591247800).

Almost surely, 2^{5662445630688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662445630688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623419049600).

5662445630688 is an abundant number, since it is smaller than the sum of its proper divisors (15584392468512).

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

5662445630688 is a wasteful number, since it uses less digits than its factorization.

5662445630688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 5662445630688 in words is "five trillion, six hundred sixty-two billion, four hundred forty-five million, six hundred thirty thousand, six hundred eighty-eight".