507294067968 has 180 divisors, whose sum is σ = 1549555841988. Its totient is φ = 164973404160.

The previous prime is 507294067957. The next prime is 507294067997. The reversal of 507294067968 is 869760492705.

507294067968 is a `hidden beast` number, since 507 + 2 + 9 + 4 + 0 + 67 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49625581824 + 457668486144 = 222768^2 + 676512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 551830 + ... + 1148522.

Almost surely, 2^507294067968 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 507294067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774777920994).

507294067968 is an abundant number, since it is smaller than the sum of its proper divisors (1042261774020).

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

507294067968 is an equidigital number, since it uses as much as digits as its factorization.

507294067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596762 (or 596739 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 507294067968 in words is "five hundred seven billion, two hundred ninety-four million, sixty-seven thousand, nine hundred sixty-eight".