5945664000 has 320 divisors, whose sum is σ = 19993184640. Its totient is φ = 1567539200.

The previous prime is 5945663953. The next prime is 5945664001. The reversal of 5945664000 is 4665495.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 5945664000.

It is not an unprimeable number, because it can be changed into a prime (5945664001) 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 31 ways as a sum of consecutive naturals, for example, 33215911 + ... + 33216089.

It is an arithmetic number, because the mean of its divisors is an integer number (62478702).

Almost surely, 2^5945664000 is an apocalyptic number.

5945664000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996592320).

5945664000 is an abundant number, since it is smaller than the sum of its proper divisors (14047520640).

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

5945664000 is a wasteful number, since it uses less digits than its factorization.

5945664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5945664000 is about 77108.1318668790. The cubic root of 5945664000 is about 1811.6186694206.

The spelling of 5945664000 in words is "five billion, nine hundred forty-five million, six hundred sixty-four thousand".