4727824985700 has 432 divisors, whose sum is σ = 16306611310080. Its totient is φ = 1184064583680.

The previous prime is 4727824985671. The next prime is 4727824985749. The reversal of 4727824985700 is 75894287274.

4727824985700 is a `hidden beast` number, since 4 + 7 + 2 + 78 + 2 + 498 + 5 + 70 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 197862954 + ... + 197886846.

It is an arithmetic number, because the mean of its divisors is an integer number (37746785440).

Almost surely, 2^{4727824985700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4727824985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153305655040).

4727824985700 is an abundant number, since it is smaller than the sum of its proper divisors (11578786324380).

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

4727824985700 is a wasteful number, since it uses less digits than its factorization.

4727824985700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24418 (or 24399 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 4727824985700 in words is "four trillion, seven hundred twenty-seven billion, eight hundred twenty-four million, nine hundred eighty-five thousand, seven hundred".