4806604800 has 720 divisors, whose sum is σ = 19046827800. Its totient is φ = 1194393600.

The previous prime is 4806604787. The next prime is 4806604813. The reversal of 4806604800 is 84066084.

4806604800 is a `hidden beast` number, since 48 + 0 + 6 + 604 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4806604787) and next prime (4806604813).

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

It is a super-3 number, since 3×4806604800³ (a number of 30 digits) contains 333 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 59 ways as a sum of consecutive naturals, for example, 78796770 + ... + 78796830.

Almost surely, 2^4806604800 is an apocalyptic number.

4806604800 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 4806604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523413900).

4806604800 is an abundant number, since it is smaller than the sum of its proper divisors (14240223000).

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

4806604800 is a wasteful number, since it uses less digits than its factorization.

4806604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4806604800 is about 69329.6819551338. The cubic root of 4806604800 is about 1687.6386848984.

The spelling of 4806604800 in words is "four billion, eight hundred six million, six hundred four thousand, eight hundred".