200074878432 has 864 divisors, whose sum is σ = 724010755104. Its totient is φ = 51872071680.

The previous prime is 200074878413. The next prime is 200074878467. The reversal of 200074878432 is 234878470002.

200074878432 is a `hidden beast` number, since 200 + 0 + 7 + 4 + 8 + 7 + 8 + 432 = 666.

200074878432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 639216708 + ... + 639217020.

It is an arithmetic number, because the mean of its divisors is an integer number (837975411).

Almost surely, 2^200074878432 is an apocalyptic number.

200074878432 is a gapful number since it is divisible by the number (22) 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 200074878432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362005377552).

200074878432 is an abundant number, since it is smaller than the sum of its proper divisors (523935876672).

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

200074878432 is a wasteful number, since it uses less digits than its factorization.

200074878432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 200074878432 in words is "two hundred billion, seventy-four million, eight hundred seventy-eight thousand, four hundred thirty-two".