4677764 has 48 divisors (see below), whose sum is σ = 10273536. Its totient is φ = 1814400.

The previous prime is 4677713. The next prime is 4677779.

4677764 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25754 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 2^4677764 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 4677764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768).

4677764 is an abundant number, since it is smaller than the sum of its proper divisors (5595772).

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

4677764 is a wasteful number, since it uses less digits than its factorization.

4677764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its digits is 197568, while the sum is 41.

The square root of 4677764 is about 2162.8139078525. The cubic root of 4677764 is about 167.2422887775.

The spelling of 4677764 in words is "four million, six hundred seventy-seven thousand, seven hundred sixty-four".