200768097349872 has 480 divisors, whose sum is σ = 656455280173056. Its totient is φ = 56787297177600.

The previous prime is 200768097349871. The next prime is 200768097349873. The reversal of 200768097349872 is 278943790867002.

200768097349872 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 68 + 0 + 9 + 7 + 3 + 498 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (200768097349871) and next prime (200768097349873).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200768097349872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200768097349871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117426097 + ... + 119123567.

Almost surely, 2^{200768097349872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200768097349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328227640086528).

200768097349872 is an abundant number, since it is smaller than the sum of its proper divisors (455687182823184).

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

200768097349872 is a wasteful number, since it uses less digits than its factorization.

200768097349872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697629 (or 1697620 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 200768097349872 in words is "two hundred trillion, seven hundred sixty-eight billion, ninety-seven million, three hundred forty-nine thousand, eight hundred seventy-two".