510676242048 has 384 divisors, whose sum is σ = 1780430595840. Its totient is φ = 137156198400.

The previous prime is 510676242047. The next prime is 510676242077. The reversal of 510676242048 is 840242676015.

510676242048 is a `hidden beast` number, since 5 + 10 + 6 + 7 + 624 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 510676241994 and 510676242012.

It is not an unprimeable number, because it can be changed into a prime (510676242047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145448613 + ... + 145452123.

It is an arithmetic number, because the mean of its divisors is an integer number (4636538010).

Almost surely, 2^510676242048 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 510676242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890215297920).

510676242048 is an abundant number, since it is smaller than the sum of its proper divisors (1269754353792).

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

510676242048 is a wasteful number, since it uses less digits than its factorization.

510676242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 510676242048 in words is "five hundred ten billion, six hundred seventy-six million, two hundred forty-two thousand, forty-eight".