4647660667464 has 128 divisors (see below), whose sum is σ = 12070537056000. Its totient is φ = 1490008633344.

The previous prime is 4647660667457. The next prime is 4647660667519.

4647660667464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4647660667395 and 4647660667404.

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, 457036972 + ... + 457047140.

It is an arithmetic number, because the mean of its divisors is an integer number (94301070750).

Almost surely, 2^{4647660667464} 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 4647660667464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035268528000).

4647660667464 is an abundant number, since it is smaller than the sum of its proper divisors (7422876388536).

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

4647660667464 is a wasteful number, since it uses less digits than its factorization.

4647660667464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 66.

The spelling of 4647660667464 in words is "four trillion, six hundred forty-seven billion, six hundred sixty million, six hundred sixty-seven thousand, four hundred sixty-four".