712649363712 has 1152 divisors, whose sum is σ = 2531760537600. Its totient is φ = 174447820800.

The previous prime is 712649363687. The next prime is 712649363717. The reversal of 712649363712 is 217363946217.

It is not an unprimeable number, because it can be changed into a prime (712649363717) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1487785489 + ... + 1487785967.

It is an arithmetic number, because the mean of its divisors is an integer number (2197708800).

Almost surely, 2^712649363712 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 712649363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265880268800).

712649363712 is an abundant number, since it is smaller than the sum of its proper divisors (1819111173888).

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

712649363712 is a wasteful number, since it uses less digits than its factorization.

712649363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The spelling of 712649363712 in words is "seven hundred twelve billion, six hundred forty-nine million, three hundred sixty-three thousand, seven hundred twelve".