726287084681796 has 243 divisors, whose sum is σ = 2129862004054239. Its totient is φ = 208493767389600.

The previous prime is 726287084681789. The next prime is 726287084681819. The reversal of 726287084681796 is 697186480782627.

The square root of 726287084681796 is 26949714.

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

726287084681796 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 87 + 0 + 8 + 468 + 1 + 79 + 6 = 666.

It is a super-3 number, since 3×726287084681796³ (a number of 46 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33794930611 + ... + 33794952101.

Almost surely, 2^{726287084681796} is an apocalyptic number.

726287084681796 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

726287084681796 is the 26949714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726287084681796

726287084681796 is an abundant number, since it is smaller than the sum of its proper divisors (1403574919372443).

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

726287084681796 is a wasteful number, since it uses less digits than its factorization.

726287084681796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43052 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 81.

The spelling of 726287084681796 in words is "seven hundred twenty-six trillion, two hundred eighty-seven billion, eighty-four million, six hundred eighty-one thousand, seven hundred ninety-six".