506972923776 has 192 divisors, whose sum is σ = 1592217095040. Its totient is φ = 153558144000.

The previous prime is 506972923741. The next prime is 506972923823. The reversal of 506972923776 is 677329279605.

506972923776 is a `hidden beast` number, since 50 + 69 + 72 + 92 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32318431 + ... + 32334113.

It is an arithmetic number, because the mean of its divisors is an integer number (8292797370).

Almost surely, 2^506972923776 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 506972923776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796108547520).

506972923776 is an abundant number, since it is smaller than the sum of its proper divisors (1085244171264).

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

506972923776 is a wasteful number, since it uses less digits than its factorization.

506972923776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18265 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 506972923776 in words is "five hundred six billion, nine hundred seventy-two million, nine hundred twenty-three thousand, seven hundred seventy-six".