506763285759360 has 1536 divisors, whose sum is σ = 2105201399616000. Its totient is φ = 114868833730560.

The previous prime is 506763285759359. The next prime is 506763285759389. The reversal of 506763285759360 is 63957582367605.

506763285759360 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 6 + 3 + 28 + 5 + 7 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137819765842 + ... + 137819769518.

It is an arithmetic number, because the mean of its divisors is an integer number (1370573827875).

Almost surely, 2^{506763285759360} 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 506763285759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052600699808000).

506763285759360 is an abundant number, since it is smaller than the sum of its proper divisors (1598438113856640).

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

506763285759360 is a wasteful number, since it uses less digits than its factorization.

506763285759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 72.

The spelling of 506763285759360 in words is "five hundred six trillion, seven hundred sixty-three billion, two hundred eighty-five million, seven hundred fifty-nine thousand, three hundred sixty".