712408127616 has 512 divisors, whose sum is σ = 2310583968000. Its totient is φ = 215088168960.

The previous prime is 712408127611. The next prime is 712408127623. The reversal of 712408127616 is 616721804217.

712408127616 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 0 + 8 + 1 + 27 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (712408127611) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 785455035 + ... + 785455941.

Almost surely, 2^712408127616 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 712408127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155291984000).

712408127616 is an abundant number, since it is smaller than the sum of its proper divisors (1598175840384).

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

712408127616 is a wasteful number, since it uses less digits than its factorization.

712408127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 712408127616 in words is "seven hundred twelve billion, four hundred eight million, one hundred twenty-seven thousand, six hundred sixteen".