5964816000 has 768 divisors, whose sum is σ = 23702515200. Its totient is φ = 1317888000.

The previous prime is 5964815963. The next prime is 5964816007. The reversal of 5964816000 is 6184695.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5964816000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5964816007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75503961 + ... + 75504039.

It is an arithmetic number, because the mean of its divisors is an integer number (30862650).

Almost surely, 2^5964816000 is an apocalyptic number.

5964816000 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 5964816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851257600).

5964816000 is an abundant number, since it is smaller than the sum of its proper divisors (17737699200).

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

5964816000 is a wasteful number, since it uses less digits than its factorization.

5964816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5964816000 is about 77232.2212551212. The cubic root of 5964816000 is about 1813.5617623612.

The spelling of 5964816000 in words is "five billion, nine hundred sixty-four million, eight hundred sixteen thousand".