4662482769504 has 288 divisors, whose sum is σ = 15765068906496. Its totient is φ = 1279012654080.

The previous prime is 4662482769481. The next prime is 4662482769509. The reversal of 4662482769504 is 4059672842664.

It is a happy number.

4662482769504 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 48 + 27 + 69 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4662482769509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7643274 + ... + 8230710.

It is an arithmetic number, because the mean of its divisors is an integer number (54739822592).

Almost surely, 2^{4662482769504} 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 4662482769504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882534453248).

4662482769504 is an abundant number, since it is smaller than the sum of its proper divisors (11102586136992).

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

4662482769504 is a wasteful number, since it uses less digits than its factorization.

4662482769504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587618 (or 587607 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4662482769504 in words is "four trillion, six hundred sixty-two billion, four hundred eighty-two million, seven hundred sixty-nine thousand, five hundred four".