812732124672 has 240 divisors, whose sum is σ = 2607521524608. Its totient is φ = 242004049920.

The previous prime is 812732124637. The next prime is 812732124683. The reversal of 812732124672 is 276421237218.

812732124672 is a `hidden beast` number, since 8 + 12 + 7 + 321 + 246 + 72 = 666.

It is a super-2 number, since 2×812732124672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638198 + ... + 2075850.

Almost surely, 2^812732124672 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 812732124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303760762304).

812732124672 is an abundant number, since it is smaller than the sum of its proper divisors (1794789399936).

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

812732124672 is a wasteful number, since it uses less digits than its factorization.

812732124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437721 (or 437702 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 812732124672 in words is "eight hundred twelve billion, seven hundred thirty-two million, one hundred twenty-four thousand, six hundred seventy-two".