4784068800 has 504 divisors, whose sum is σ = 20072778752. Its totient is φ = 1057536000.

The previous prime is 4784068799. The next prime is 4784068813. The reversal of 4784068800 is 88604874.

4784068800 is a `hidden beast` number, since 478 + 40 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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, 3124035 + ... + 3125565.

Almost surely, 2^4784068800 is an apocalyptic number.

4784068800 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 4784068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036389376).

4784068800 is an abundant number, since it is smaller than the sum of its proper divisors (15288709952).

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

4784068800 is a wasteful number, since it uses less digits than its factorization.

4784068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4784068800 is about 69166.9632122157. The cubic root of 4784068800 is about 1684.9970267656.

The spelling of 4784068800 in words is "four billion, seven hundred eighty-four million, sixty-eight thousand, eight hundred".