4716056772 has 72 divisors (see below), whose sum is σ = 13649470016. Its totient is φ = 1344942144.

The previous prime is 4716056749. The next prime is 4716056773. The reversal of 4716056772 is 2776506174.

4716056772 is a `hidden beast` number, since 4 + 7 + 16 + 0 + 567 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (4716056773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120738 + ... + 154950.

Almost surely, 2^4716056772 is an apocalyptic number.

4716056772 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 4716056772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824735008).

4716056772 is an abundant number, since it is smaller than the sum of its proper divisors (8933413244).

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

4716056772 is a wasteful number, since it uses less digits than its factorization.

4716056772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34777 (or 34772 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4716056772 is about 68673.5522017028. The cubic root of 4716056772 is about 1676.9740470871.

The spelling of 4716056772 in words is "four billion, seven hundred sixteen million, fifty-six thousand, seven hundred seventy-two".