12782927403684 has 135 divisors (see below), whose sum is σ = 33578200474203. Its totient is φ = 4240532110032.

The previous prime is 12782927403607. The next prime is 12782927403703. The reversal of 12782927403684 is 48630472928721.

It is a happy number.

The square root of 12782927403684 is 3575322.

It is a perfect power (a square), and thus also a powerful number.

12782927403684 is a `hidden beast` number, since 1 + 2 + 7 + 82 + 92 + 7 + 403 + 68 + 4 = 666.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 19757229049 + ... + 19757229695.

Almost surely, 2^{12782927403684} is an apocalyptic number.

12782927403684 is the 3575322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782927403684

12782927403684 is an abundant number, since it is smaller than the sum of its proper divisors (20795273070519).

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

12782927403684 is an frugal number, since it uses more digits than its factorization.

12782927403684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 12782927403684 in words is "twelve trillion, seven hundred eighty-two billion, nine hundred twenty-seven million, four hundred three thousand, six hundred eighty-four".