4782032100 has 432 divisors, whose sum is σ = 16893710400. Its totient is φ = 1157068800.

The previous prime is 4782032063. The next prime is 4782032117. The reversal of 4782032100 is 12302874.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49299252 + ... + 49299348.

Almost surely, 2^4782032100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4782032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446855200).

4782032100 is an abundant number, since it is smaller than the sum of its proper divisors (12111678300).

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

4782032100 is a wasteful number, since it uses less digits than its factorization.

4782032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4782032100 is about 69152.2385754792. The cubic root of 4782032100 is about 1684.7578774341.

Adding to 4782032100 its reverse (12302874), we get a palindrome (4794334974).

The spelling of 4782032100 in words is "four billion, seven hundred eighty-two million, thirty-two thousand, one hundred".