506765101680 has 200 divisors, whose sum is σ = 1761787684800. Its totient is φ = 135005501952.

The previous prime is 506765101679. The next prime is 506765101681. The reversal of 506765101680 is 86101567605.

506765101680 is a `hidden beast` number, since 5 + 0 + 6 + 76 + 510 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506765101679) and next prime (506765101681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506765101681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6695086 + ... + 6770354.

It is an arithmetic number, because the mean of its divisors is an integer number (8808938424).

Almost surely, 2^506765101680 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 506765101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880893842400).

506765101680 is an abundant number, since it is smaller than the sum of its proper divisors (1255022583120).

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

506765101680 is a wasteful number, since it uses less digits than its factorization.

506765101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76333 (or 76318 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 506765101680 in words is "five hundred six billion, seven hundred sixty-five million, one hundred one thousand, six hundred eighty".