204015480676000 has 1536 divisors, whose sum is σ = 640085748277248. Its totient is φ = 62324696678400.

The previous prime is 204015480675989. The next prime is 204015480676027. The reversal of 204015480676000 is 676084510402.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86557266822 + ... + 86557269178.

It is an arithmetic number, because the mean of its divisors is an integer number (416722492368).

Almost surely, 2^{204015480676000} is an apocalyptic number.

204015480676000 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 204015480676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320042874138624).

204015480676000 is an abundant number, since it is smaller than the sum of its proper divisors (436070267601248).

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

204015480676000 is a wasteful number, since it uses less digits than its factorization.

204015480676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 204015480676000 in words is "two hundred four trillion, fifteen billion, four hundred eighty million, six hundred seventy-six thousand".