5940316800 has 576 divisors, whose sum is σ = 24505752960. Its totient is φ = 1354137600.

The previous prime is 5940316787. The next prime is 5940316859. The reversal of 5940316800 is 86130495.

5940316800 is a `hidden beast` number, since 594 + 0 + 3 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385049 + ... + 5386151.

It is an arithmetic number, because the mean of its divisors is an integer number (42544710).

Almost surely, 2^5940316800 is an apocalyptic number.

5940316800 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 5940316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252876480).

5940316800 is an abundant number, since it is smaller than the sum of its proper divisors (18565436160).

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

5940316800 is a wasteful number, since it uses less digits than its factorization.

5940316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5940316800 is about 77073.4506818009. The cubic root of 5940316800 is about 1811.0754167909.

The spelling of 5940316800 in words is "five billion, nine hundred forty million, three hundred sixteen thousand, eight hundred".