500945067840 has 224 divisors, whose sum is σ = 1825263247104. Its totient is φ = 114026250240.

The previous prime is 500945067823. The next prime is 500945067841. The reversal of 500945067840 is 48760549005.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 500945067840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500945067841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464862 + ... + 1774178.

Almost surely, 2^500945067840 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 500945067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912631623552).

500945067840 is an abundant number, since it is smaller than the sum of its proper divisors (1324318179264).

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

500945067840 is a wasteful number, since it uses less digits than its factorization.

500945067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309585 (or 309575 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 500945067840 in words is "five hundred billion, nine hundred forty-five million, sixty-seven thousand, eight hundred forty".