200393400768 has 448 divisors, whose sum is σ = 623290152960. Its totient is φ = 56619171840.

The previous prime is 200393400749. The next prime is 200393400773. The reversal of 200393400768 is 867004393002.

200393400768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838465993 + ... + 838466231.

Almost surely, 2^200393400768 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 200393400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311645076480).

200393400768 is an abundant number, since it is smaller than the sum of its proper divisors (422896752192).

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

200393400768 is a wasteful number, since it uses less digits than its factorization.

200393400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 200393400768 in words is "two hundred billion, three hundred ninety-three million, four hundred thousand, seven hundred sixty-eight".