4677015966 has 64 divisors (see below), whose sum is σ = 11024252928. Its totient is φ = 1295104608.

The previous prime is 4677015953. The next prime is 4677015971. The reversal of 4677015966 is 6695107764.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191821 + ... + 214823.

It is an arithmetic number, because the mean of its divisors is an integer number (172253952).

Almost surely, 2^4677015966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677015966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512126464).

4677015966 is an abundant number, since it is smaller than the sum of its proper divisors (6347236962).

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

4677015966 is a wasteful number, since it uses less digits than its factorization.

4677015966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23165.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 4677015966 is about 68388.7122703740. The cubic root of 4677015966 is about 1672.3337357875. Note that the first 3 decimals are identical.

The spelling of 4677015966 in words is "four billion, six hundred seventy-seven million, fifteen thousand, nine hundred sixty-six".