200760600768 has 896 divisors, whose sum is σ = 720265125888. Its totient is φ = 47860678656.

The previous prime is 200760600757. The next prime is 200760600797. The reversal of 200760600768 is 867006067002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1019089246 + ... + 1019089442.

It is an arithmetic number, because the mean of its divisors is an integer number (803867328).

Almost surely, 2^200760600768 is an apocalyptic number.

200760600768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200760600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360132562944).

200760600768 is an abundant number, since it is smaller than the sum of its proper divisors (519504525120).

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

200760600768 is a wasteful number, since it uses less digits than its factorization.

200760600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 200760600768 in words is "two hundred billion, seven hundred sixty million, six hundred thousand, seven hundred sixty-eight".