4648668464 has 40 divisors (see below), whose sum is σ = 9851661120. Its totient is φ = 2107425600.

The previous prime is 4648668461. The next prime is 4648668487.

4648668464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4648668464² = 43220236976376238592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4648668461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31859 + ... + 101549.

It is an arithmetic number, because the mean of its divisors is an integer number (246291528).

Almost surely, 2^4648668464 is an apocalyptic number.

4648668464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4648668464 is an abundant number, since it is smaller than the sum of its proper divisors (5202992656).

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

4648668464 is a wasteful number, since it uses less digits than its factorization.

4648668464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70089 (or 70083 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The square root of 4648668464 is about 68181.1444902474. The cubic root of 4648668464 is about 1668.9482021235.

The spelling of 4648668464 in words is "four billion, six hundred forty-eight million, six hundred sixty-eight thousand, four hundred sixty-four".