712634217377656 has 128 divisors (see below), whose sum is σ = 1549302910848000. Its totient is φ = 300997686915072.

The previous prime is 712634217377653. The next prime is 712634217377657. The reversal of 712634217377656 is 656773712436217.

It is a junction number, because it is equal to n+sod(n) for n = 712634217377591 and 712634217377600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712634217377653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334956765 + ... + 1335490483.

It is an arithmetic number, because the mean of its divisors is an integer number (12103928991000).

Almost surely, 2^{712634217377656} 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 712634217377656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774651455424000).

712634217377656 is an abundant number, since it is smaller than the sum of its proper divisors (836668693470344).

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

712634217377656 is a wasteful number, since it uses less digits than its factorization.

712634217377656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534861 (or 534857 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 67.

The spelling of 712634217377656 in words is "seven hundred twelve trillion, six hundred thirty-four billion, two hundred seventeen million, three hundred seventy-seven thousand, six hundred fifty-six".