712027166040 has 320 divisors, whose sum is σ = 2415149352000. Its totient is φ = 188140879872.

The previous prime is 712027165919. The next prime is 712027166047. The reversal of 712027166040 is 40661720217.

712027166040 is a `hidden beast` number, since 7 + 1 + 20 + 27 + 1 + 6 + 604 + 0 = 666.

It is a super-3 number, since 3×712027166040³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 712027165986 and 712027166004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712027166047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165701172 + ... + 165705468.

It is an arithmetic number, because the mean of its divisors is an integer number (7547341725).

Almost surely, 2^712027166040 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 712027166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207574676000).

712027166040 is an abundant number, since it is smaller than the sum of its proper divisors (1703122185960).

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

712027166040 is a wasteful number, since it uses less digits than its factorization.

712027166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 712027166040 its reverse (40661720217), we get a palindrome (752688886257).

The spelling of 712027166040 in words is "seven hundred twelve billion, twenty-seven million, one hundred sixty-six thousand, forty".