507829616640 has 1020 divisors, whose sum is σ = 1957771351404. Its totient is φ = 125873160192.

The previous prime is 507829616617. The next prime is 507829616699. The reversal of 507829616640 is 46616928705.

507829616640 is a `hidden beast` number, since 507 + 8 + 2 + 96 + 1 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 275952697344 + 231876919296 = 525312^2 + 481536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9581690854 + ... + 9581690906.

Almost surely, 2^507829616640 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 507829616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978885675702).

507829616640 is an abundant number, since it is smaller than the sum of its proper divisors (1449941734764).

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

507829616640 is an frugal number, since it uses more digits than its factorization.

507829616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 507829616640 in words is "five hundred seven billion, eight hundred twenty-nine million, six hundred sixteen thousand, six hundred forty".