712506271680 has 1344 divisors, whose sum is σ = 3012691968000. Its totient is φ = 154279157760.

The previous prime is 712506271667. The next prime is 712506271703. The reversal of 712506271680 is 86172605217.

712506271680 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 0 + 627 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1623020901 + ... + 1623021339.

Almost surely, 2^712506271680 is an apocalyptic number.

712506271680 is a gapful number since it is divisible by the number (70) 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 712506271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506345984000).

712506271680 is an abundant number, since it is smaller than the sum of its proper divisors (2300185696320).

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

712506271680 is a wasteful number, since it uses less digits than its factorization.

712506271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 712506271680 its reverse (86172605217), we get a palindrome (798678876897).

The spelling of 712506271680 in words is "seven hundred twelve billion, five hundred six million, two hundred seventy-one thousand, six hundred eighty".