200815799744736 has 960 divisors, whose sum is σ = 709723498176000. Its totient is φ = 54984730521600.

The previous prime is 200815799744687. The next prime is 200815799744743. The reversal of 200815799744736 is 637447997518002.

200815799744736 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 1 + 579 + 9 + 7 + 4 + 47 + 3 + 6 = 666.

It is a super-2 number, since 2×200815799744736² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4348427566 + ... + 4348473746.

It is an arithmetic number, because the mean of its divisors is an integer number (739295310600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅200815799744736 = 401631599489472, but 3⋅200815799744736 = 602447399234208 is not.

Almost surely, 2^{200815799744736} 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 200815799744736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354861749088000).

200815799744736 is an abundant number, since it is smaller than the sum of its proper divisors (508907698431264).

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

200815799744736 is a wasteful number, since it uses less digits than its factorization.

200815799744736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46605 (or 46588 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 200815799744736 in words is "two hundred trillion, eight hundred fifteen billion, seven hundred ninety-nine million, seven hundred forty-four thousand, seven hundred thirty-six".