712734317568 has 1056 divisors, whose sum is σ = 2638421467136. Its totient is φ = 180305657856.

The previous prime is 712734317567. The next prime is 712734317651. The reversal of 712734317568 is 865713437217.

712734317568 is a `hidden beast` number, since 7 + 1 + 2 + 73 + 4 + 3 + 1 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712734317567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3196117905 + ... + 3196118127.

Almost surely, 2^712734317568 is an apocalyptic number.

712734317568 is a gapful number since it is divisible by the number (78) 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 712734317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319210733568).

712734317568 is an abundant number, since it is smaller than the sum of its proper divisors (1925687149568).

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

712734317568 is a wasteful number, since it uses less digits than its factorization.

712734317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 712734317568 in words is "seven hundred twelve billion, seven hundred thirty-four million, three hundred seventeen thousand, five hundred sixty-eight".