5669101440 has 512 divisors, whose sum is σ = 21855744000. Its totient is φ = 1383505920.

The previous prime is 5669101411. The next prime is 5669101513. The reversal of 5669101440 is 441019665.

5669101440 is a `hidden beast` number, since 56 + 69 + 101 + 440 = 666.

It is a super-2 number, since 2×5669101440² = 64277422274020147200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5669101395 and 5669101404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10177642 + ... + 10178198.

It is an arithmetic number, because the mean of its divisors is an integer number (42687000).

Almost surely, 2^5669101440 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 5669101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872000).

5669101440 is an abundant number, since it is smaller than the sum of its proper divisors (16186642560).

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

5669101440 is a wasteful number, since it uses less digits than its factorization.

5669101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5669101440 is about 75293.4355704400. The cubic root of 5669101440 is about 1783.0823838418.

The spelling of 5669101440 in words is "five billion, six hundred sixty-nine million, one hundred one thousand, four hundred forty".