4763668100 has 72 divisors (see below), whose sum is σ = 10448997888. Its totient is φ = 1884960000.

The previous prime is 4763668099. The next prime is 4763668111. The reversal of 4763668100 is 18663674.

It is a super-2 number, since 2×4763668100² = 45385067533915220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6342725 + ... + 6343475.

Almost surely, 2^4763668100 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 4763668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224498944).

4763668100 is an abundant number, since it is smaller than the sum of its proper divisors (5685329788).

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

4763668100 is a wasteful number, since it uses less digits than its factorization.

4763668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4763668100 is about 69019.3313499921. The cubic root of 4763668100 is about 1682.5985037859.

The spelling of 4763668100 in words is "four billion, seven hundred sixty-three million, six hundred sixty-eight thousand, one hundred".