4647777464 has 64 divisors (see below), whose sum is σ = 9809268480. Its totient is φ = 2063292000.

The previous prime is 4647777461. The next prime is 4647777479.

4647777464 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4647777461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452789 + ... + 462939.

It is an arithmetic number, because the mean of its divisors is an integer number (153269820).

Almost surely, 2^4647777464 is an apocalyptic number.

4647777464 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 4647777464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904634240).

4647777464 is an abundant number, since it is smaller than the sum of its proper divisors (5161491016).

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

4647777464 is a wasteful number, since it uses less digits than its factorization.

4647777464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10207 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 56.

The square root of 4647777464 is about 68174.6101125632. The cubic root of 4647777464 is about 1668.8415674406.

The spelling of 4647777464 in words is "four billion, six hundred forty-seven million, seven hundred seventy-seven thousand, four hundred sixty-four".