500815136640 has 1024 divisors, whose sum is σ = 2101789347840. Its totient is φ = 98425110528.

The previous prime is 500815136617. The next prime is 500815136677. The reversal of 500815136640 is 46631518005.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 305933902 + ... + 305935538.

It is an arithmetic number, because the mean of its divisors is an integer number (2052528660).

Almost surely, 2^500815136640 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 500815136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050894673920).

500815136640 is an abundant number, since it is smaller than the sum of its proper divisors (1600974211200).

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

500815136640 is a wasteful number, since it uses less digits than its factorization.

500815136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 500815136640 in words is "five hundred billion, eight hundred fifteen million, one hundred thirty-six thousand, six hundred forty".