200902742964 has 576 divisors, whose sum is σ = 700820951040. Its totient is φ = 48259411200.

The previous prime is 200902742951. The next prime is 200902743043. The reversal of 200902742964 is 469247209002.

It is a happy number.

200902742964 is a `hidden beast` number, since 2 + 0 + 0 + 90 + 274 + 296 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183808002 + ... + 183809094.

It is an arithmetic number, because the mean of its divisors is an integer number (1216703040).

Almost surely, 2^200902742964 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 200902742964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350410475520).

200902742964 is an abundant number, since it is smaller than the sum of its proper divisors (499918208076).

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

200902742964 is a wasteful number, since it uses less digits than its factorization.

200902742964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 200902742964 in words is "two hundred billion, nine hundred two million, seven hundred forty-two thousand, nine hundred sixty-four".