4502768320512 has 1440 divisors, whose sum is σ = 17831277921600. Its totient is φ = 1100753141760.

The previous prime is 4502768320499. The next prime is 4502768320513. The reversal of 4502768320512 is 2150238672054.

4502768320512 is a `hidden beast` number, since 4 + 5 + 0 + 276 + 8 + 320 + 51 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4502768320513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264868724728 + ... + 264868724744.

It is an arithmetic number, because the mean of its divisors is an integer number (12382831890).

Almost surely, 2^{4502768320512} is an apocalyptic number.

4502768320512 is a gapful number since it is divisible by the number (42) 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 4502768320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915638960800).

4502768320512 is an abundant number, since it is smaller than the sum of its proper divisors (13328509601088).

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

4502768320512 is an frugal number, since it uses more digits than its factorization.

4502768320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4502768320512 in words is "four trillion, five hundred two billion, seven hundred sixty-eight million, three hundred twenty thousand, five hundred twelve".