4677005312 has 104 divisors (see below), whose sum is σ = 10910412000. Its totient is φ = 2003828736.

The previous prime is 4677005293. The next prime is 4677005327. The reversal of 4677005312 is 2135007764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1403264 + ... + 1406592.

Almost surely, 2^4677005312 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 4677005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455206000).

4677005312 is an abundant number, since it is smaller than the sum of its proper divisors (6233406688).

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

4677005312 is an frugal number, since it uses more digits than its factorization.

4677005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 4677005312 is about 68388.6343773583. The cubic root of 4677005312 is about 1672.3324659566.

The spelling of 4677005312 in words is "four billion, six hundred seventy-seven million, five thousand, three hundred twelve".