712128633744 has 160 divisors (see below), whose sum is σ = 2144823722496. Its totient is φ = 201204213760.

The previous prime is 712128633719. The next prime is 712128633767. The reversal of 712128633744 is 447336821217.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 712128633693 and 712128633702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589699 + ... + 1331165.

Almost surely, 2^712128633744 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 712128633744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072411861248).

712128633744 is an abundant number, since it is smaller than the sum of its proper divisors (1432695088752).

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

712128633744 is a wasteful number, since it uses less digits than its factorization.

712128633744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741613 (or 741607 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 712128633744 in words is "seven hundred twelve billion, one hundred twenty-eight million, six hundred thirty-three thousand, seven hundred forty-four".