4647638367464 has 192 divisors, whose sum is σ = 9836337254400. Its totient is φ = 2048224527360.

The previous prime is 4647638367461. The next prime is 4647638367503.

4647638367464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4647638367394 and 4647638367403.

It is not an unprimeable number, because it can be changed into a prime (4647638367461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9543405029 + ... + 9543405515.

It is an arithmetic number, because the mean of its divisors is an integer number (51230923200).

Almost surely, 2^{4647638367464} is an apocalyptic number.

It is an amenable number.

4647638367464 is an abundant number, since it is smaller than the sum of its proper divisors (5188698886936).

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

4647638367464 is a wasteful number, since it uses less digits than its factorization.

4647638367464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 819 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 68.

The spelling of 4647638367464 in words is "four trillion, six hundred forty-seven billion, six hundred thirty-eight million, three hundred sixty-seven thousand, four hundred sixty-four".