204970422720 has 448 divisors, whose sum is σ = 769779081216. Its totient is φ = 45218856960.

The previous prime is 204970422703. The next prime is 204970422733. The reversal of 204970422720 is 27224079402.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95201164 + ... + 95203316.

Almost surely, 2^204970422720 is an apocalyptic number.

204970422720 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 204970422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384889540608).

204970422720 is an abundant number, since it is smaller than the sum of its proper divisors (564808658496).

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

204970422720 is a wasteful number, since it uses less digits than its factorization.

204970422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 204970422720 in words is "two hundred four billion, nine hundred seventy million, four hundred twenty-two thousand, seven hundred twenty".