712287962568 has 324 divisors, whose sum is σ = 2432195070435. Its totient is φ = 187684293888.

The previous prime is 712287962543. The next prime is 712287962569. The reversal of 712287962568 is 865269782217.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

712287962568 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 8 + 7 + 9 + 62 + 568 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 541522317924 + 170765644644 = 735882^2 + 413238^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=596778.

It is a super-3 number, since 3×712287962568³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (712287962569) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 651681030 + ... + 651682122.

Almost surely, 2^712287962568 is an apocalyptic number.

712287962568 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 712287962568

712287962568 is an abundant number, since it is smaller than the sum of its proper divisors (1719907107867).

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

712287962568 is a wasteful number, since it uses less digits than its factorization.

712287962568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 1118 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 712287962568 in words is "seven hundred twelve billion, two hundred eighty-seven million, nine hundred sixty-two thousand, five hundred sixty-eight".