4908664800 has 360 divisors, whose sum is σ = 19281250296. Its totient is φ = 1208079360.

The previous prime is 4908664781. The next prime is 4908664883. The reversal of 4908664800 is 84668094.

It is a happy number.

4908664800 is a `hidden beast` number, since 4 + 90 + 86 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 839487 + ... + 845313.

Almost surely, 2^4908664800 is an apocalyptic number.

4908664800 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 4908664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640625148).

4908664800 is an abundant number, since it is smaller than the sum of its proper divisors (14372585496).

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

4908664800 is a wasteful number, since it uses less digits than its factorization.

4908664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4908664800 is about 70061.8640916726. The cubic root of 4908664800 is about 1699.4998297874.

The spelling of 4908664800 in words is "four billion, nine hundred eight million, six hundred sixty-four thousand, eight hundred".