5973964800 has 576 divisors, whose sum is σ = 21936096000. Its totient is φ = 1427374080.

The previous prime is 5973964783. The next prime is 5973964813. The reversal of 5973964800 is 84693795.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67123156 + ... + 67123244.

It is an arithmetic number, because the mean of its divisors is an integer number (38083500).

Almost surely, 2^5973964800 is an apocalyptic number.

5973964800 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 5973964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048000).

5973964800 is an abundant number, since it is smaller than the sum of its proper divisors (15962131200).

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

5973964800 is a wasteful number, since it uses less digits than its factorization.

5973964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 5973964800 is about 77291.4277264950. The cubic root of 5973964800 is about 1814.4884988669.

The spelling of 5973964800 in words is "five billion, nine hundred seventy-three million, nine hundred sixty-four thousand, eight hundred".