506486379672 has 576 divisors, whose sum is σ = 1785954643200. Its totient is φ = 128389847040.

The previous prime is 506486379661. The next prime is 506486379673. The reversal of 506486379672 is 276973684605.

506486379672 is a `hidden beast` number, since 50 + 6 + 486 + 37 + 9 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506486379673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223218954 + ... + 223221222.

It is an arithmetic number, because the mean of its divisors is an integer number (3100615700).

Almost surely, 2^506486379672 is an apocalyptic number.

506486379672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506486379672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892977321600).

506486379672 is an abundant number, since it is smaller than the sum of its proper divisors (1279468263528).

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

506486379672 is a wasteful number, since it uses less digits than its factorization.

506486379672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 506486379672 in words is "five hundred six billion, four hundred eighty-six million, three hundred seventy-nine thousand, six hundred seventy-two".