4816972800 has 660 divisors, whose sum is σ = 18796471056. Its totient is φ = 1216512000.

The previous prime is 4816972757. The next prime is 4816972829. The reversal of 4816972800 is 82796184.

4816972800 is a `hidden beast` number, since 481 + 6 + 97 + 2 + 80 + 0 = 666.

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

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, 47692750 + ... + 47692850.

Almost surely, 2^4816972800 is an apocalyptic number.

4816972800 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 4816972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398235528).

4816972800 is an abundant number, since it is smaller than the sum of its proper divisors (13979498256).

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

4816972800 is a wasteful number, since it uses less digits than its factorization.

4816972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4816972800 is about 69404.4148451667. The cubic root of 4816972800 is about 1688.8512436464.

The spelling of 4816972800 in words is "four billion, eight hundred sixteen million, nine hundred seventy-two thousand, eight hundred".