204916004167680 has 2688 divisors, whose sum is σ = 812333413785600. Its totient is φ = 48971284217856.

The previous prime is 204916004167669. The next prime is 204916004167687. The reversal of 204916004167680 is 86761400619402.

204916004167680 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 160 + 0 + 416 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (204916004167687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1613511843777 + ... + 1613511843903.

It is an arithmetic number, because the mean of its divisors is an integer number (302207371200).

Almost surely, 2^{204916004167680} is an apocalyptic number.

204916004167680 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 204916004167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406166706892800).

204916004167680 is an abundant number, since it is smaller than the sum of its proper divisors (607417409617920).

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

204916004167680 is a wasteful number, since it uses less digits than its factorization.

204916004167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 204916004167680 in words is "two hundred four trillion, nine hundred sixteen billion, four million, one hundred sixty-seven thousand, six hundred eighty".