5945961840 has 960 divisors, whose sum is σ = 25648358400. Its totient is φ = 1124057088.

The previous prime is 5945961839. The next prime is 5945961883. The reversal of 5945961840 is 481695495.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66808516 + ... + 66808604.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^5945961840 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 5945961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

5945961840 is an abundant number, since it is smaller than the sum of its proper divisors (19702396560).

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

5945961840 is a wasteful number, since it uses less digits than its factorization.

5945961840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 5945961840 is about 77110.0631565038. The cubic root of 5945961840 is about 1811.6489191115.

The spelling of 5945961840 in words is "five billion, nine hundred forty-five million, nine hundred sixty-one thousand, eight hundred forty".