4706785800 has 288 divisors, whose sum is σ = 16770578400. Its totient is φ = 1213315200.

The previous prime is 4706785729. The next prime is 4706785819. The reversal of 4706785800 is 85876074.

4706785800 is a `hidden beast` number, since 4 + 7 + 0 + 67 + 8 + 580 + 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 71 ways as a sum of consecutive naturals, for example, 5188947 + ... + 5189853.

It is an arithmetic number, because the mean of its divisors is an integer number (58231175).

Almost surely, 2^4706785800 is an apocalyptic number.

4706785800 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 4706785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385289200).

4706785800 is an abundant number, since it is smaller than the sum of its proper divisors (12063792600).

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

4706785800 is a wasteful number, since it uses less digits than its factorization.

4706785800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 4706785800 is about 68606.0186864097. The cubic root of 4706785800 is about 1675.8744435384.

The spelling of 4706785800 in words is "four billion, seven hundred six million, seven hundred eighty-five thousand, eight hundred".