726834682116 has 81 divisors (see below), whose sum is σ = 1851492107829. Its totient is φ = 240417972000.

The previous prime is 726834682099. The next prime is 726834682127. The reversal of 726834682116 is 611286438627.

It is a happy number.

The square root of 726834682116 is 852546.

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

726834682116 is a `hidden beast` number, since 7 + 2 + 68 + 3 + 468 + 2 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 450705451716 + 276129230400 = 671346^2 + 525480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 772406206 + ... + 772407146.

Almost surely, 2^726834682116 is an apocalyptic number.

726834682116 is the 852546-th square number.

It is an amenable number.

726834682116 is an abundant number, since it is smaller than the sum of its proper divisors (1124657425713).

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

726834682116 is an equidigital number, since it uses as much as digits as its factorization.

726834682116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 726834682116 in words is "seven hundred twenty-six billion, eight hundred thirty-four million, six hundred eighty-two thousand, one hundred sixteen".