4986633715200 has 720 divisors, whose sum is σ = 18550917665280. Its totient is φ = 1326596382720.

The previous prime is 4986633715177. The next prime is 4986633715201. The reversal of 4986633715200 is 25173366894.

4986633715200 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 63 + 371 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4986633715200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4986633715201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1489879927 + ... + 1489883273.

It is an arithmetic number, because the mean of its divisors is an integer number (25765163424).

It is a 1-persistent number, because it is pandigital, but 2⋅4986633715200 = 9973267430400 is not.

Almost surely, 2^{4986633715200} is an apocalyptic number.

4986633715200 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 4986633715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275458832640).

4986633715200 is an abundant number, since it is smaller than the sum of its proper divisors (13564283950080).

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

4986633715200 is an equidigital number, since it uses as much as digits as its factorization.

4986633715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4986633715200 in words is "four trillion, nine hundred eighty-six billion, six hundred thirty-three million, seven hundred fifteen thousand, two hundred".