4660825362264 has 192 divisors, whose sum is σ = 13201265039040. Its totient is φ = 1482751733760.

The previous prime is 4660825362251. The next prime is 4660825362269. The reversal of 4660825362264 is 4622635280664.

4660825362264 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 8 + 2 + 5 + 3 + 622 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4660825362264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660825362269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181012204 + ... + 2181014340.

It is an arithmetic number, because the mean of its divisors is an integer number (68756588745).

Almost surely, 2^{4660825362264} 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 4660825362264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600632519520).

4660825362264 is an abundant number, since it is smaller than the sum of its proper divisors (8540439676776).

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

4660825362264 is a wasteful number, since it uses less digits than its factorization.

4660825362264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 4660825362264 in words is "four trillion, six hundred sixty billion, eight hundred twenty-five million, three hundred sixty-two thousand, two hundred sixty-four".