4644276724464 has 80 divisors (see below), whose sum is σ = 12926006016000. Its totient is φ = 1428412094208.

The previous prime is 4644276724411. The next prime is 4644276724469.

It is a happy number.

4644276724464 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4644276724398 and 4644276724407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4644276724469) 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, 54244 + ... + 3048195.

It is an arithmetic number, because the mean of its divisors is an integer number (161575075200).

Almost surely, 2^{4644276724464} is an apocalyptic number.

It is an amenable number.

4644276724464 is an abundant number, since it is smaller than the sum of its proper divisors (8281729291536).

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

4644276724464 is a wasteful number, since it uses less digits than its factorization.

4644276724464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104862 (or 3104856 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 60.

The spelling of 4644276724464 in words is "four trillion, six hundred forty-four billion, two hundred seventy-six million, seven hundred twenty-four thousand, four hundred sixty-four".