5674160885760 has 728 divisors, whose sum is σ = 20488577180760. Its totient is φ = 1507675078656.

The previous prime is 5674160885753. The next prime is 5674160885797. The reversal of 5674160885760 is 675880614765.

5674160885760 is a `hidden beast` number, since 56 + 7 + 4 + 1 + 6 + 0 + 8 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060669292544 + 4613491593216 = 1029888^2 + 2147904^2 .

It is a super-2 number, since 2×5674160885760² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5807738392 + ... + 5807739368.

Almost surely, 2^{5674160885760} 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 5674160885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244288590380).

5674160885760 is an abundant number, since it is smaller than the sum of its proper divisors (14814416295000).

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

5674160885760 is an frugal number, since it uses more digits than its factorization.

5674160885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5674160885760 in words is "five trillion, six hundred seventy-four billion, one hundred sixty million, eight hundred eighty-five thousand, seven hundred sixty".