200029961376 has 360 divisors, whose sum is σ = 709593968160. Its totient is φ = 54141675264.

The previous prime is 200029961353. The next prime is 200029961399. The reversal of 200029961376 is 673169920002.

It is a happy number.

200029961376 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 29 + 9 + 613 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (200029961353) and next prime (200029961399).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6534715 + ... + 6565253.

It is an arithmetic number, because the mean of its divisors is an integer number (1971094356).

Almost surely, 2^200029961376 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 200029961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354796984080).

200029961376 is an abundant number, since it is smaller than the sum of its proper divisors (509564006784).

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

200029961376 is a wasteful number, since it uses less digits than its factorization.

200029961376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30606 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 200029961376 in words is "two hundred billion, twenty-nine million, nine hundred sixty-one thousand, three hundred seventy-six".