4643100672 has 192 divisors, whose sum is σ = 14454236160. Its totient is φ = 1297809408.

The previous prime is 4643100629. The next prime is 4643100677. The reversal of 4643100672 is 2760013464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643100677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2020228 + ... + 2022524.

It is an arithmetic number, because the mean of its divisors is an integer number (75282480).

Almost surely, 2^4643100672 is an apocalyptic number.

4643100672 is a gapful number since it is divisible by the number (42) 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 4643100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227118080).

4643100672 is an abundant number, since it is smaller than the sum of its proper divisors (9811135488).

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

4643100672 is a wasteful number, since it uses less digits than its factorization.

4643100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4643100672 is about 68140.3013788463. The cubic root of 4643100672 is about 1668.2816263887.

The spelling of 4643100672 in words is "four billion, six hundred forty-three million, one hundred thousand, six hundred seventy-two".