4676666764 has 96 divisors (see below), whose sum is σ = 10778826240. Its totient is φ = 1720051200.

The previous prime is 4676666747. The next prime is 4676666767.

4676666764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4676666699 and 4676666708.

It is not an unprimeable number, because it can be changed into a prime (4676666767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853824 + ... + 1856344.

It is an arithmetic number, because the mean of its divisors is an integer number (112279440).

Almost surely, 2^4676666764 is an apocalyptic number.

4676666764 is a gapful number since it is divisible by the number (44) 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 4676666764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389413120).

4676666764 is an abundant number, since it is smaller than the sum of its proper divisors (6102159476).

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

4676666764 is a wasteful number, since it uses less digits than its factorization.

4676666764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 58.

The square root of 4676666764 is about 68386.1591551975. The cubic root of 4676666764 is about 1672.2921140337.

The spelling of 4676666764 in words is "four billion, six hundred seventy-six million, six hundred sixty-six thousand, seven hundred sixty-four".