507134730816 has 672 divisors, whose sum is σ = 1785579360000. Its totient is φ = 141083873280.

The previous prime is 507134730793. The next prime is 507134730821. The reversal of 507134730816 is 618037431705.

507134730816 is a `hidden beast` number, since 507 + 1 + 34 + 7 + 30 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996335170 + ... + 996335678.

Almost surely, 2^507134730816 is an apocalyptic number.

507134730816 is a gapful number since it is divisible by the number (56) 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 507134730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892789680000).

507134730816 is an abundant number, since it is smaller than the sum of its proper divisors (1278444629184).

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

507134730816 is an equidigital number, since it uses as much as digits as its factorization.

507134730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 507134730816 in words is "five hundred seven billion, one hundred thirty-four million, seven hundred thirty thousand, eight hundred sixteen".