4966110720 has 480 divisors, whose sum is σ = 18844151040. Its totient is φ = 1203240960.

The previous prime is 4966110707. The next prime is 4966110749. The reversal of 4966110720 is 270116694.

4966110720 is a `hidden beast` number, since 496 + 61 + 107 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 12141876 + ... + 12142284.

It is an arithmetic number, because the mean of its divisors is an integer number (39258648).

Almost surely, 2^4966110720 is an apocalyptic number.

4966110720 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 4966110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422075520).

4966110720 is an abundant number, since it is smaller than the sum of its proper divisors (13878040320).

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

4966110720 is a wasteful number, since it uses less digits than its factorization.

4966110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4966110720 is about 70470.6372895832. The cubic root of 4966110720 is about 1706.1038617341.

The spelling of 4966110720 in words is "four billion, nine hundred sixty-six million, one hundred ten thousand, seven hundred twenty".