4647280827464 has 64 divisors (see below), whose sum is σ = 9838311062400. Its totient is φ = 2038579379200.

The previous prime is 4647280827437. The next prime is 4647280827487.

4647280827464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4647280827397 and 4647280827406.

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, 4889744 + ... + 5762304.

It is an arithmetic number, because the mean of its divisors is an integer number (153723610350).

Almost surely, 2^{4647280827464} is an apocalyptic number.

4647280827464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4647280827464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919155531200).

4647280827464 is an abundant number, since it is smaller than the sum of its proper divisors (5191030234936).

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

4647280827464 is a wasteful number, since it uses less digits than its factorization.

4647280827464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874694 (or 874690 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 62.

The spelling of 4647280827464 in words is "four trillion, six hundred forty-seven billion, two hundred eighty million, eight hundred twenty-seven thousand, four hundred sixty-four".