506302790004 has 144 divisors (see below), whose sum is σ = 1427577016320. Its totient is φ = 150011334720.

The previous prime is 506302789991. The next prime is 506302790023. The reversal of 506302790004 is 400097203605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3143689 + ... + 3300815.

It is an arithmetic number, because the mean of its divisors is an integer number (9913729280).

Almost surely, 2^506302790004 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 506302790004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713788508160).

506302790004 is an abundant number, since it is smaller than the sum of its proper divisors (921274226316).

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

506302790004 is a wasteful number, since it uses less digits than its factorization.

506302790004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157330 (or 157325 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 506302790004 its reverse (400097203605), we get a palindrome (906399993609).

The spelling of 506302790004 in words is "five hundred six billion, three hundred two million, seven hundred ninety thousand, four".