4973307580800 has 1728 divisors, whose sum is σ = 20339814418560. Its totient is φ = 1149006643200.

The previous prime is 4973307580789. The next prime is 4973307580841. The reversal of 4973307580800 is 80857033794.

4973307580800 is a `hidden beast` number, since 4 + 97 + 330 + 75 + 80 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15889161444 + ... + 15889161756.

Almost surely, 2^{4973307580800} is an apocalyptic number.

4973307580800 is a gapful number since it is divisible by the number (40) 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 4973307580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169907209280).

4973307580800 is an abundant number, since it is smaller than the sum of its proper divisors (15366506837760).

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

4973307580800 is a wasteful number, since it uses less digits than its factorization.

4973307580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4973307580800 in words is "four trillion, nine hundred seventy-three billion, three hundred seven million, five hundred eighty thousand, eight hundred".