204378606432 has 1728 divisors, whose sum is σ = 857306032128. Its totient is φ = 47421158400.

The previous prime is 204378606409. The next prime is 204378606461. The reversal of 204378606432 is 234606873402.

204378606432 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 7 + 8 + 606 + 4 + 32 = 666.

204378606432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204378606432² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 6592858257 + ... + 6592858287.

It is an arithmetic number, because the mean of its divisors is an integer number (496126176).

Almost surely, 2^204378606432 is an apocalyptic number.

204378606432 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 204378606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428653016064).

204378606432 is an abundant number, since it is smaller than the sum of its proper divisors (652927425696).

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

204378606432 is a wasteful number, since it uses less digits than its factorization.

204378606432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 204378606432 in words is "two hundred four billion, three hundred seventy-eight million, six hundred six thousand, four hundred thirty-two".