4644664464 has 80 divisors (see below), whose sum is σ = 13443336000. Its totient is φ = 1369428480.

The previous prime is 4644664457. The next prime is 4644664481.

4644664464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 99339 + ... + 138410.

It is an arithmetic number, because the mean of its divisors is an integer number (168041700).

Almost surely, 2^4644664464 is an apocalyptic number.

4644664464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4644664464 is an abundant number, since it is smaller than the sum of its proper divisors (8798671536).

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

4644664464 is a wasteful number, since it uses less digits than its factorization.

4644664464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237808 (or 237802 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The square root of 4644664464 is about 68151.7752079871. The cubic root of 4644664464 is about 1668.4688972676.

The spelling of 4644664464 in words is "four billion, six hundred forty-four million, six hundred sixty-four thousand, four hundred sixty-four".