4884754867200 has 3168 divisors, whose sum is σ = 21513616540416. Its totient is φ = 1046394961920.

The previous prime is 4884754867199. The next prime is 4884754867207. The reversal of 4884754867200 is 27684574884.

4884754867200 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 7 + 548 + 67 + 20 + 0 = 666.

It is a super-2 number, since 2×4884754867200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4884754867207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50358297552 + ... + 50358297648.

It is an arithmetic number, because the mean of its divisors is an integer number (6790914312).

Almost surely, 2^{4884754867200} is an apocalyptic number.

4884754867200 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 4884754867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756808270208).

4884754867200 is an abundant number, since it is smaller than the sum of its proper divisors (16628861673216).

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

4884754867200 is a wasteful number, since it uses less digits than its factorization.

4884754867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 4884754867200 in words is "four trillion, eight hundred eighty-four billion, seven hundred fifty-four million, eight hundred sixty-seven thousand, two hundred".