5945393664 has 480 divisors, whose sum is σ = 21065616000. Its totient is φ = 1576599552.

The previous prime is 5945393647. The next prime is 5945393719. The reversal of 5945393664 is 4663935495.

It is a self number, because there is not a number n which added to its sum of digits gives 5945393664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54544842 + ... + 54544950.

It is an arithmetic number, because the mean of its divisors is an integer number (43886700).

Almost surely, 2^5945393664 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 5945393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532808000).

5945393664 is an abundant number, since it is smaller than the sum of its proper divisors (15120222336).

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

5945393664 is a wasteful number, since it uses less digits than its factorization.

5945393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 5945393664 is about 77106.3788800901. The cubic root of 5945393664 is about 1811.5912122592.

The spelling of 5945393664 in words is "five billion, nine hundred forty-five million, three hundred ninety-three thousand, six hundred sixty-four".