5661473773536 has 288 divisors, whose sum is σ = 19431116490240. Its totient is φ = 1528592643072.

The previous prime is 5661473773523. The next prime is 5661473773591. The reversal of 5661473773536 is 6353773741665.

5661473773536 is a `hidden beast` number, since 5 + 6 + 61 + 4 + 7 + 37 + 7 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 3113010 + ... + 4584078.

It is an arithmetic number, because the mean of its divisors is an integer number (67469154480).

Almost surely, 2^{5661473773536} is an apocalyptic number.

5661473773536 is a gapful number since it is divisible by the number (56) 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 5661473773536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715558245120).

5661473773536 is an abundant number, since it is smaller than the sum of its proper divisors (13769642716704).

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

5661473773536 is a wasteful number, since it uses less digits than its factorization.

5661473773536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471198 (or 1471187 counting only the distinct ones).

The product of its digits is 200037600, while the sum is 63.

The spelling of 5661473773536 in words is "five trillion, six hundred sixty-one billion, four hundred seventy-three million, seven hundred seventy-three thousand, five hundred thirty-six".