5964094800 has 420 divisors, whose sum is σ = 21793139004. Its totient is φ = 1567641600.

The previous prime is 5964094753. The next prime is 5964094841. The reversal of 5964094800 is 84904695.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3117658896 + 2846435904 = 55836^2 + 53352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32950710 + ... + 32950890.

Almost surely, 2^5964094800 is an apocalyptic number.

5964094800 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 5964094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896569502).

5964094800 is an abundant number, since it is smaller than the sum of its proper divisors (15829044204).

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

5964094800 is a wasteful number, since it uses less digits than its factorization.

5964094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5964094800 is about 77227.5520782577. The cubic root of 5964094800 is about 1813.4886674291.

The spelling of 5964094800 in words is "five billion, nine hundred sixty-four million, ninety-four thousand, eight hundred".