510663648768 has 640 divisors, whose sum is σ = 1755194327040. Its totient is φ = 128317685760.

The previous prime is 510663648767. The next prime is 510663648853. The reversal of 510663648768 is 867846366015.

510663648768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510663648763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290313873 + ... + 290315631.

It is an arithmetic number, because the mean of its divisors is an integer number (2742491136).

Almost surely, 2^510663648768 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 510663648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877597163520).

510663648768 is an abundant number, since it is smaller than the sum of its proper divisors (1244530678272).

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

510663648768 is a wasteful number, since it uses less digits than its factorization.

510663648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 510663648768 in words is "five hundred ten billion, six hundred sixty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".