204426008640 has 504 divisors, whose sum is σ = 819860184000. Its totient is φ = 46616242176.

The previous prime is 204426008629. The next prime is 204426008641. The reversal of 204426008640 is 46800624402.

It is a happy number.

204426008640 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 6 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204426008595 and 204426008604.

It is not an unprimeable number, because it can be changed into a prime (204426008641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70417429 + ... + 70420331.

Almost surely, 2^204426008640 is an apocalyptic number.

204426008640 is a gapful number since it is divisible by the number (20) 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 204426008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409930092000).

204426008640 is an abundant number, since it is smaller than the sum of its proper divisors (615434175360).

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

204426008640 is a wasteful number, since it uses less digits than its factorization.

204426008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 204426008640 in words is "two hundred four billion, four hundred twenty-six million, eight thousand, six hundred forty".