4766842556100 has 405 divisors, whose sum is σ = 16426153363543. Its totient is φ = 1195545623040.

The previous prime is 4766842555957. The next prime is 4766842556101. The reversal of 4766842556100 is 16552486674.

The square root of 4766842556100 is 2183310.

It is a perfect power (a square), and thus also a powerful number.

4766842556100 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 84 + 2 + 556 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111501230724 + 4655341325376 = 333918^2 + 2157624^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4766842556101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3340463587 + ... + 3340465013.

Almost surely, 2^{4766842556100} is an apocalyptic number.

4766842556100 is the 2183310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4766842556100

4766842556100 is an abundant number, since it is smaller than the sum of its proper divisors (11659310807443).

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

4766842556100 is a wasteful number, since it uses less digits than its factorization.

4766842556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4766842556100 in words is "four trillion, seven hundred sixty-six billion, eight hundred forty-two million, five hundred fifty-six thousand, one hundred".