5461781760 has 324 divisors, whose sum is σ = 20129326308. Its totient is φ = 1362591744.

The previous prime is 5461781719. The next prime is 5461781761. The reversal of 5461781760 is 671871645.

It can be written as a sum of positive squares in 2 ways, for example, as 3148556544 + 2313225216 = 56112^2 + 48096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461781761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32705197 + ... + 32705363.

Almost surely, 2^5461781760 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 5461781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064663154).

5461781760 is an abundant number, since it is smaller than the sum of its proper divisors (14667544548).

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

5461781760 is a wasteful number, since it uses less digits than its factorization.

5461781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5461781760 is about 73903.8683696598. The cubic root of 5461781760 is about 1761.0760637238.

The spelling of 5461781760 in words is "five billion, four hundred sixty-one million, seven hundred eighty-one thousand, seven hundred sixty".