4812643800 has 288 divisors, whose sum is σ = 16757610480. Its totient is φ = 1237017600.

The previous prime is 4812643783. The next prime is 4812643831. The reversal of 4812643800 is 83462184.

4812643800 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 643 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5818987 + ... + 5819813.

Almost surely, 2^4812643800 is an apocalyptic number.

4812643800 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 4812643800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378805240).

4812643800 is an abundant number, since it is smaller than the sum of its proper divisors (11944966680).

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

4812643800 is a wasteful number, since it uses less digits than its factorization.

4812643800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

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

The square root of 4812643800 is about 69373.2210582729. The cubic root of 4812643800 is about 1688.3451700487.

The spelling of 4812643800 in words is "four billion, eight hundred twelve million, six hundred forty-three thousand, eight hundred".