712468534272768 has 1080 divisors, whose sum is σ = 2664723419764560. Its totient is φ = 187669273559040.

The previous prime is 712468534272713. The next prime is 712468534272793. The reversal of 712468534272768 is 867272435864217.

712468534272768 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 6 + 8 + 5 + 342 + 7 + 276 + 8 = 666.

It is a super-2 number, since 2×712468534272768² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 712468534272696 and 712468534272705.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10712329498 + ... + 10712396006.

It is an arithmetic number, because the mean of its divisors is an integer number (2467336499782).

Almost surely, 2^{712468534272768} is an apocalyptic number.

712468534272768 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 712468534272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332361709882280).

712468534272768 is an abundant number, since it is smaller than the sum of its proper divisors (1952254885491792).

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

712468534272768 is a wasteful number, since it uses less digits than its factorization.

712468534272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67375 (or 67345 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 712468534272768 in words is "seven hundred twelve trillion, four hundred sixty-eight billion, five hundred thirty-four million, two hundred seventy-two thousand, seven hundred sixty-eight".