712271558720 has 448 divisors, whose sum is σ = 1846134097920. Its totient is φ = 261131599872.

The previous prime is 712271558707. The next prime is 712271558749. The reversal of 712271558720 is 27855172217.

It is a super-2 number, since 2×712271558720² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4117176554 + ... + 4117176726.

It is an arithmetic number, because the mean of its divisors is an integer number (4120835040).

Almost surely, 2^712271558720 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 712271558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923067048960).

712271558720 is an abundant number, since it is smaller than the sum of its proper divisors (1133862539200).

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

712271558720 is a wasteful number, since it uses less digits than its factorization.

712271558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 47.

The spelling of 712271558720 in words is "seven hundred twelve billion, two hundred seventy-one million, five hundred fifty-eight thousand, seven hundred twenty".