5940604800 has 960 divisors, whose sum is σ = 24746697360. Its totient is φ = 1393459200.

The previous prime is 5940604783. The next prime is 5940604811. The reversal of 5940604800 is 84060495.

5940604800 is a `hidden beast` number, since 5 + 9 + 40 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138153579 + ... + 138153621.

Almost surely, 2^5940604800 is an apocalyptic number.

5940604800 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 5940604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373348680).

5940604800 is an abundant number, since it is smaller than the sum of its proper divisors (18806092560).

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

5940604800 is a wasteful number, since it uses less digits than its factorization.

5940604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5940604800 is about 77075.3190068001. The cubic root of 5940604800 is about 1811.1046846626.

The spelling of 5940604800 in words is "five billion, nine hundred forty million, six hundred four thousand, eight hundred".