5646727571940 has 768 divisors, whose sum is σ = 22441828147200. Its totient is φ = 1146479007744.

The previous prime is 5646727571899. The next prime is 5646727571941. The reversal of 5646727571940 is 491757276465.

5646727571940 is a `hidden beast` number, since 56 + 4 + 6 + 7 + 2 + 7 + 571 + 9 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5646727571941) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 437486967 + ... + 437499873.

It is an arithmetic number, because the mean of its divisors is an integer number (29221130400).

Almost surely, 2^{5646727571940} 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 5646727571940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220914073600).

5646727571940 is an abundant number, since it is smaller than the sum of its proper divisors (16795100575260).

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

5646727571940 is a wasteful number, since it uses less digits than its factorization.

5646727571940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13273 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 5646727571940 in words is "five trillion, six hundred forty-six billion, seven hundred twenty-seven million, five hundred seventy-one thousand, nine hundred forty".