4648274728464 has 80 divisors (see below), whose sum is σ = 12129515072064. Its totient is φ = 1533757632000.

The previous prime is 4648274728463. The next prime is 4648274728507.

It is a happy number.

4648274728464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4648274728395 and 4648274728404.

It is not an unprimeable number, because it can be changed into a prime (4648274728463) 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, 23233819 + ... + 23433029.

Almost surely, 2^{4648274728464} 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 4648274728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064757536032).

4648274728464 is an abundant number, since it is smaller than the sum of its proper divisors (7481240343600).

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

4648274728464 is a wasteful number, since it uses less digits than its factorization.

4648274728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204136 (or 204130 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 4648274728464 in words is "four trillion, six hundred forty-eight billion, two hundred seventy-four million, seven hundred twenty-eight thousand, four hundred sixty-four".