200726807856768 has 96 divisors (see below), whose sum is σ = 587081352932100. Its totient is φ = 65812068126720.

The previous prime is 200726807856749. The next prime is 200726807856787. The reversal of 200726807856768 is 867658708627002.

It is an interprime number because it is at equal distance from previous prime (200726807856749) and next prime (200726807856787).

It can be written as a sum of positive squares in 2 ways, for example, as 194604508805184 + 6122299051584 = 13950072^2 + 2474328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 200726807856696 and 200726807856705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428143013 + ... + 1428283556.

Almost surely, 2^{200726807856768} is an apocalyptic number.

It is an amenable number.

200726807856768 is an abundant number, since it is smaller than the sum of its proper divisors (386354545075332).

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

200726807856768 is a wasteful number, since it uses less digits than its factorization.

200726807856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856426650 (or 2856426635 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 200726807856768 in words is "two hundred trillion, seven hundred twenty-six billion, eight hundred seven million, eight hundred fifty-six thousand, seven hundred sixty-eight".