507480350832 has 480 divisors, whose sum is σ = 1799682812928. Its totient is φ = 129921490944.

The previous prime is 507480350821. The next prime is 507480350851. The reversal of 507480350832 is 238053084705.

507480350832 is a `hidden beast` number, since 507 + 4 + 80 + 35 + 0 + 8 + 32 = 666.

It is a congruent number.

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, 94097128 + ... + 94102520.

Almost surely, 2^507480350832 is an apocalyptic number.

507480350832 is a gapful number since it is divisible by the number (52) 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 507480350832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899841406464).

507480350832 is an abundant number, since it is smaller than the sum of its proper divisors (1292202462096).

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

507480350832 is a wasteful number, since it uses less digits than its factorization.

507480350832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 507480350832 in words is "five hundred seven billion, four hundred eighty million, three hundred fifty thousand, eight hundred thirty-two".