712586071680 has 512 divisors, whose sum is σ = 2644107909120. Its totient is φ = 159860736000.

The previous prime is 712586071667. The next prime is 712586071739. The reversal of 712586071680 is 86170685217.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 678007155 + ... + 678008205.

It is an arithmetic number, because the mean of its divisors is an integer number (5164273260).

Almost surely, 2^712586071680 is an apocalyptic number.

712586071680 is a gapful number since it is divisible by the number (70) 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 712586071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322053954560).

712586071680 is an abundant number, since it is smaller than the sum of its proper divisors (1931521837440).

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

712586071680 is a wasteful number, since it uses less digits than its factorization.

712586071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 712586071680 in words is "seven hundred twelve billion, five hundred eighty-six million, seventy-one thousand, six hundred eighty".