4966120800 has 288 divisors, whose sum is σ = 18058844160. Its totient is φ = 1317081600.

The previous prime is 4966120787. The next prime is 4966120889. The reversal of 4966120800 is 80216694.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×4966120800⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4816285 + ... + 4817315.

It is an arithmetic number, because the mean of its divisors is an integer number (62704320).

Almost surely, 2^4966120800 is an apocalyptic number.

4966120800 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 4966120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029422080).

4966120800 is an abundant number, since it is smaller than the sum of its proper divisors (13092723360).

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

4966120800 is a wasteful number, since it uses less digits than its factorization.

4966120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4966120800 is about 70470.7088086958. The cubic root of 4966120800 is about 1706.1050160589.

The spelling of 4966120800 in words is "four billion, nine hundred sixty-six million, one hundred twenty thousand, eight hundred".