4823364775680 has 1728 divisors, whose sum is σ = 19572239651328. Its totient is φ = 1127268679680.

The previous prime is 4823364775673. The next prime is 4823364775687. The reversal of 4823364775680 is 865774633284.

4823364775680 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 3 + 64 + 7 + 7 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4823364775673) and next prime (4823364775687).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4823364775687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12149533242 + ... + 12149533638.

It is an arithmetic number, because the mean of its divisors is an integer number (11326527576).

Almost surely, 2^{4823364775680} is an apocalyptic number.

4823364775680 is a gapful number since it is divisible by the number (40) 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 4823364775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786119825664).

4823364775680 is an abundant number, since it is smaller than the sum of its proper divisors (14748874875648).

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

4823364775680 is a wasteful number, since it uses less digits than its factorization.

4823364775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 4823364775680 in words is "four trillion, eight hundred twenty-three billion, three hundred sixty-four million, seven hundred seventy-five thousand, six hundred eighty".