4809728632800 has 1728 divisors, whose sum is σ = 20194491469824. Its totient is φ = 985175654400.

The previous prime is 4809728632799. The next prime is 4809728632811. The reversal of 4809728632800 is 82368279084.

It is a happy number.

It is a super-3 number, since 3×4809728632800³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7923770097 + ... + 7923770703.

It is an arithmetic number, because the mean of its divisors is an integer number (11686627008).

Almost surely, 2^{4809728632800} is an apocalyptic number.

4809728632800 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 4809728632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097245734912).

4809728632800 is an abundant number, since it is smaller than the sum of its proper divisors (15384762837024).

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

4809728632800 is a wasteful number, since it uses less digits than its factorization.

4809728632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 4809728632800 in words is "four trillion, eight hundred nine billion, seven hundred twenty-eight million, six hundred thirty-two thousand, eight hundred".