5461380960 has 192 divisors, whose sum is σ = 19780733952. Its totient is φ = 1240713216.

The previous prime is 5461380931. The next prime is 5461380971. The reversal of 5461380960 is 690831645.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 556254 + ... + 565986.

It is an arithmetic number, because the mean of its divisors is an integer number (103024656).

Almost surely, 2^5461380960 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 5461380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890366976).

5461380960 is an abundant number, since it is smaller than the sum of its proper divisors (14319352992).

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

5461380960 is a wasteful number, since it uses less digits than its factorization.

5461380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9925 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5461380960 is about 73901.1566891886. The cubic root of 5461380960 is about 1761.0329851960.

The spelling of 5461380960 in words is "five billion, four hundred sixty-one million, three hundred eighty thousand, nine hundred sixty".